Friday, September 4, 2020

The Murder of Emmett Till Free Essays

Unmistakably, the homicide of Emmett Till was a significant piece of the Civil Rights Movement since it had opened the eyes of residents who had accepted there was no distinction living as a non-white individual than there was living as a white individual. The Emmett Till case was about a little youngster who was visitings a few family members up in Money, Mississippi. He rode in a vehicle with a couple of different cousins and relatives around his age (14) to Bryant’s Grocery and Meat Market, when one of Emmett’s family members had prescribed that he endeavor to get with the assistant of the store. We will compose a custom article test on The Murder of Emmett Till or on the other hand any comparable theme just for you Request Now Anyway subsequent to endeavoring to play with her he left ineffective and gave her a kiss on her cheek. The agent at that point disclosed to her better half about the experience and how she was drawn closer as Emmett made reluctant advances upon the representative. As Emmett left the store he had gloated about how he â€Å"Got a Date† with the agent, his family members were right away stressed for his security notice him that it was perilous to make progresses on white individuals, particularly ladies. In the wake of being taken to the home wherein his family members lived in, there was uproar at the entryway, at that point out of nowhere. The agents spouse and his brother by marriage had burst into the room where Emmett was rest and medication him outside and beat him to approach demise. They had thought of taking him to a medical clinic and giving them a phony tale about how they discovered him thrashed, however concluded he was an act of futility and tied an ash square to his lower leg and dropped what was left of him down the Tallahatchie River to lay down with the fishes. Following three days of the hijacking of Till they had discovered his body in the Tallahatchie River, the main way they realized it was him was by the ring on his finger, a ring his dad had given to him. The news had spread around Till’s family rapidly, and his mom requested his body be taken back to chicago so he can be covered appropriately. She had additionally mentioned that the memorial service had an open coffin to show the 50,000 individuals that went to the burial service exactly what those men had done to her child. She had later set up a preliminary to put the two men who had killed her kid in a correctional facility, anyway twilight of the court contending who did what and who didn’t do what, the two men were seen not as blameworthy for the homicide of multi year old Emmett Till Step by step instructions to refer to The Murder of Emmett Till, Papers

Wednesday, August 26, 2020

Conclusion

My name is Frederica Krebs. I am a 29-year-old independent columnist. I expound on everything occurring in Germany, and afterward offer them to papers and magazines everywhere throughout the world. I am the main child of a World War 1 saint, and my mom who carts me. I am separated with one child who dwells with his mom. I'm youthful, blonde, blue-looked at, solid, and unadulterated German. I'm what you would believe Hitler perfect German to be. As opposed to having confidence In the Whimper republic, I trust In democracy.I consider he Whimper republic to be week and powerless. I don't Like what these gatherings of hooligans who call themselves â€Å"Nazis† are attempting to do. I mean they are attempting to accuse the war for the Jews, socialists, and the nonconformists. Saying how Hitler will take the Germans back to their rancher enormity. My own dad concurs with the Nazis, he is as of now anxious to free the nation of outsiders and particularly Jews. In any case, he doesn't realize that I have a Jewish sweetheart, named Anna. Likewise my better half is bringing up our child to get one of these criminals.He is just five and right now has a place with some Nazi out association. I will take the necessary steps to ensure that these individuals don't harm our nation. Second Entry February 27,1933 what they have confidence in yet what he has faith in. I then again won't yield and decide not to make the vow and hold fast for what I have confidence in. I will attempt to add to attempting to crush Hitler as much as Possible. Since I am a Journalist I can expound on all the terrible things happening to our country.After expounding on these occasions I will offer them to papers and magazines everywhere throughout the world, so they would now the amount of a danger Hitler isn't just to the individuals of Germany yet in addition to the world. Third Entry May 10,1933 Today is the day of the book consuming children going around hollering like the consuming of the bo oks doesn't trouble them, they don't have the foggiest idea how much books would help them in light of the fact that their small kids doing what they thought was correct. The Nazis and police are thumping on individuals' entryways and appropriating their books, I know many individuals who don't concur with this however would prefer not to place the lives of their family in danger.Me being a Journalist I don't concur with this the slightest bit not having books would hang how we suspect as much we wont have our own feelings, we would all have similar contemplations since we are just permitted to peruse comparable books. I should go to this book consuming later tonight and I will have a choice to make whether I need to partake in this and toss a book into the fire or attempt and prevent them from tossing the books, so as I have returned you realize I have settled on the choice to Join in on the burning.A young man came up to me and attempted to place a book in my grasp, as I declined a trooper strolls up and stands directly behind the kid gazing at me and says, on the off chance that you have rust in what Hitler is doing you will take the book and toss it in. I would not like to get captured and free the opportunity of getting the message out to the world about what's going on here so I took the book and hurled it. It was an extremely hard activity however I did it for my nation. Fourth Entry August 1,1936 I am here in Berlin for the Olympic games to help my nation obviously. I stroll into the stadium.There are such huge numbers of individuals yet not Just Germans different nationalities are here to support their nation. I feel as though wherever like they were keeping a close eye on me. I additionally notice some American columnists were likewise there, possibly this is my opportunity to get out to the world about what was occurring here. The individuals here would think nothing about what's happening here in light of the fact that Hitler had all the individual s from different nations. I trust I could get an opportunity of talking with one of the U. S columnist yet it won't be simple with all the AS officials around watching.If they see me endeavoring to converse with the journalists I will be captured and rebuffed possibly executed. I have concluded that attempting to converse with the correspondents would be excessively dangerous so I won't attempt and converse with them. In such a case that I get captured I would leave my better half who is Jewish alone and might escape, and my dad would discover that I was conflicting with Hitler and he puts stock in what Hitler is doing. In the event that I got captured it could likewise place my family in peril who recognizes what Hitler would do with them.Fifth Entry September 29,1936 Today I am having a private supper with Josef Gobbles a companion and specialist of Hitler. Eats is likewise a Journalist however he is one for the Nazi party and has been since 1926. I needed this gathering in such a case that I could find a new Line of work as a Journalist for the Nazi party, after I gain their trust I could without much of a stretch get the word out to the world and the could never speculate it was me. At the supper we talked about my accepts to be on that Hitler is doing and what they expect of me as a Journalist.When I took a gander at Gobbles I would have never figured he would be in the Nazi party since he was an inverse of the ideal German that Hitler depicted. He was little, dull and disabled with a lasting limp. After I saw him I realized I could land the Position since I was the ideal German that Hitler portrayed, and for what reason would they turn down a reflect German. I would likewise have the option to keep my better half safe on the off chance that I Join the Nazi party. Toward the finish of the supper he said he might want to extend to me an Employment opportunity to work with him as a Journalist, so I shook his hand and readily accepted.Sixth Entry November 10 ,1938's everything beginning today what the papers called Charlatanic: the evening of broken glass. I look outside and see every single Jewish business being burned to the ground, or seriously harmed. Not exclusively are their organizations being demolished they are being pulled out from their homes a ton of the occasions hauled out and beaten. The Nazi crowds were Sioux towards them more regrettable than eve seen before in some cases beating the Jews in the city by the hundreds. I have a decision to make, do I attempt and spare my better half and hazard being gotten or do I Just surrender her to them and never observe her again.I can't do that to her I have to discover a spot for her to shroud a spot they could never think to look here. The horde is nearly to my home I need to think rapidly or I will free her to those beasts. I advised her to go outback and under the steps outside there's an opening since he was the one that put in the paper to do this so all he would do is urn me in. As I began to quiet entryway I hear a thump at my entryway however there was no yelling I open it and before my eyes was a family, a Jewish family that had gotten away and requested my help.I needed to think yet think rapidly cause the horde was uniquely down the road, so I instructed them to go where I had advised my better half to o and hold up till I came and got them. The crowd was at long last at my entryway they inquired as to whether I had any Jews in here I said no. The individuals jumped in and began to attack my home they at long last left following ten minutes of looking and discovered nothing, my home a wreck however they don't discovered anything. Seventh Entry November 1 2, 1938 I have moved away from my old home to attempt to escape from all the madness.I despite everything have work so sick Just accomplish the work from here I live close to Auschwitz Brinkmen. Life here is beneficial for me however much to my dismay when I moved around here that I moved close to a camp. In the first place, I thought ghettos were for Just poor people, presently I realize that the Germans were driving the Jews to live there and afterward moving them to death camps. I can take a walk and see this camp and see the individuals in it yet I can't successfully support them. I see the work they need to do, they look all slow and beat, you can see the watchmen hollering and beating them when they stop working.I see gatherings of small children, seniors, and feeble go into these structures while being accompanied by troops so they couldn't run, the gatekeepers close the entryway and the gathering could never come out. I comprehended what had befallen them however I never knew how it was going on. I know these sorts of things IM Just an essayist. It is difficult to watch this all incident wishing I could accomplish something yet hazard being slaughtered myself and loosing the trust of Gobbles. Eighth Entry November 4,1943 I have seen the slaughter, presently I have los t the little regard I had for the German warriors, Hitler, and Hammier.Hammier couldn't care less what number of Jews bite the dust in view of his prosperity. Being a Journalist I must be to there seeing a side I had never observed of these warriors and pioneers. I saw dead bodies on the ground arranged in lines like they were in a mechanical production system. Be that as it may, the most exceedingly terrible was I really observing the killings, they had them line up and like a shooting crew they shot them in the neck. A portion of the individuals were even still alive after they were shot and they Just feet them there.But regardless of whether you pivot to attempt to turn away there were more trucks brimming with more Jews standing by to be butchered. The miserable thing was it wasn't Just garments so they were slaughtered bare. An ever increasing number of trucks travel every which way, emptying at that point executing the helpless they were powerless and hungry. This is one of th e most exceedingly awful things I had ever observed. Ninth Entry October 8,1944 â€Å"First they took the land Then they took the individuals Then they took me and there was nobody left The devils in mask Creating disarray toward each path What we sure can do Never let this agony happen again. End My name is Frederica Krebs. I am a 29-year-old independent columnist. I expound on everything occurring in Germany, and afterward offer them to papers and magazines everywhere throughout the world. I am the main child of a World War 1 saint, and my mom who carts me. I am separated with one child who lives with his mom. I'm youthful, blonde, blue-looked at, solid, and unadulterated German. I'm what you would believe Hitler perfect German to be. As opposed to putting stock In the Whimper republic, I have confidence In democracy.I consider he Whimper republic to be week and defenseless. I don't Like what these gatherings of hooligans who call themselves â€Å"Nazis† are attempting to do. I mean they are attempting to bl

Saturday, August 22, 2020

Metals are electropositive chemical elements Free Essays

string(52) Dislocations can only with significant effort cross grain boundaries. Metals are electropositive concoction components that are described by the accompanying characteristics: flexibility, pliability, radiance, obscurity, and conductance of warmth and power. They can supplant the hydrogen of a corrosive and structure bases with hydroxyl radicals. Thickness is characterized as a material’s mass isolated by its volume. We will compose a custom exposition test on Metals are electropositive concoction components or on the other hand any comparable subject just for you Request Now Metals commonly have moderately high densities, especially when contrasted with polymers. Regularly, materials with high densities contain particles with high nuclear numbers, for example, gold or lead. Be that as it may, a few metals, for example, aluminum or magnesium have low densities. These metals are helpful in applications requiring other metallic properties yet in which low weight is additionally advantageous. Break Toughness can be portrayed as a material’s capacity to keep away from crack, particularly when a defect is presented. Glass, for instance, has low crack sturdiness (despite the fact that it displays high quality without blemishes). Metals normally have high break strength. Metals can for the most part contain scratches and imprints without debilitating definitely. They are likewise sway safe. A football player depends on this reality to guarantee that his facemask won’t break. The move confine on a racecar, for instance, is made from steel. This steel ought to stay flawless in an accident, securing the driver. The capacity of a material to twist or twist before breaking is known as plastic disfigurement. A few materials are planned with the goal that they don’t distort under ordinary conditions. You don’t need your vehicle to shelter the east after a solid west wind, for instance. Nonetheless, once in a while we can exploit plastic distortion. The fold zones in a vehicle assimilate vitality by experiencing plastic misshapening before they break. Stress happens when powers pull (this is known as strain), push (pressure) or act in mix on a material. When the power is applied, the material reacts by misshaping, counterbalancing the power. With a bigger power, there will be a correspondingly more noteworthy contortion until the thing breaks. Stress is the power applied per unit of cross-sectional zone square to the power. This can be communicated numerically as:: Stress (s) = Force/unit of zone The decimal measuring standard units for stress are Newton per square meter (N/m2) and majestic framework units are pounds per square inch (psi). Strain is the sum the material disfigures from the emptied state when the power is applied. Its equation is: Strain (x) = Change long/unique length Since strain is a proportion of length separated by a length, it has no units. By the equation, we can see that it speaks to a corresponding change in size. Distortion happens when a power is applied to a metal. The metal is along these lines stressed. The more noteworthy the power †the more the misshapening (strain). This relationship is perceived in Hooke’s Law. Hooke’s Law portrays a flexible area where anxiety are corresponding (a straight line on a diagram). In this locale the metal demonstrations like a spring and when the heap is evacuated the disfigurement (strain) lessens and it comes back to its unique shape. On the off chance that rather the heap builds, the strain (twisting) ascents and the metal experiences uniform plastic disfigurement. The pressure strain diagram is bended in this district. In the long run, a most extreme pressure is arrived at when the metal when the material arrives at its constraint of necking. Necking is restricted diminishing that happens during sheet metal framing preceding crack. The beginning of confined necking is reliant upon the pressure state which is influenced by geometric variables. At last, past the most extreme emphasize point, a point is arrived at where the metal can no longer continue the heap and it yields. The conduct of metals under burden is an aftereffect of their nuclear course of action. At the point when a material is stacked it distorts minutely in response to the heap. The iotas in the material draw nearer together in pressure and further separated in strain. The sum a particle moves from its neighbor is its strain. As a power is applied the iotas change a proportionate separation. This model notwithstanding, doesn't clarify why there is unexpected yielding. With most current metals yielding as a rule happens at about 1% of the hypothetical quality of the nuclear securities. Numerous materials yield at about 0.1% of the hypothetical quality. Or maybe, metals show such low qualities as a result of blemished nuclear structures in the gem grids which involve them. A line of particles will regularly stop mid gem, making a hole in the nuclear structure. These holes go about as disengagements, which are tremendous emphasize bringing face up in the metal. These separations move when the metal is pushed. A separation is characterized as permitting molecules to slip each in turn, making it simpler to misshape metals. Disengagement associations inside a metal are an essential methods by which metals are distorted and fortified. At the point when metals distort by disengagement movement, the more boundaries the separations meet, the more grounded the metal. The nearness of disengagements in metal permits distortion at low degrees of stress. Be that as it may, in the long run such a significant number of disengagements amass that inadequate iotas are left to take the heap. This makes the metal yield. Plastic disfigurement causes the development of more separations in the metal grid. This can possibly make an abatement in the portability of these disengagements because of their inclination to get tangled or stuck. At the point when plastic distortion happens at temperatures low enough that molecules can't revamp, the metal can be reinforced because of this impact. Lamentably, this likewise makes the metal become progressively fragile. As a metal is utilized, it will in general frame and develop splits, which in the end cause it to break or crack. Molecules of liquefied metal pack together to frame a precious stone grid at the point of solidification. As this happens, gatherings of these particles structure little precious stones. These gems have their size expanded by dynamically including particles. The subsequent strong, rather than being a solitary precious stone, is really numerous littler gems, called grains. These grains will at that point develop until they force after neighboring developing gems. The interface between the grains is known as a grain limit. Separations can only with significant effort cross grain limits. You read Metals are electropositive synthetic components in class Papers If a metal is warmed, the grains can become bigger and the material gets gentler. Warming a metal and cooling it rapidly (extinguishing), trailed by delicate warming (hardening), brings about a harder material because of the arrangement of numerous little Fe3C accelerates which square disengagements. The nuclear holding of metals likewise influences their properties. Metal particles are joined to one another by solid, delocalized bonds. These bonds are shaped by a haze of valence electrons that are shared between positive metal particles (cations) in a precious stone cross section. These external valence electrons are likewise versatile. This clarifies why electrons can lead warmth and power †the free electrons are effectively ready to move vitality through the material. Therefore, metals make great cooking skillet and electrical wires. In the precious stone cross section, metal particles are pressed intently together to boost the quality of the bonds. It is likewise difficult to see through metals, since the valence electrons ingest any photons of light hitting the metal. Hence, no photons go through. Amalgams are mixes comprising of more than one metal. Making amalgams of metals can influence the thickness, quality, break strength, plastic distortion, electrical conductivity and ecological debasement. For instance, including a modest quantity of iron to aluminum will make it more grounded. On the other hand, adding some chromium to steel will slow the rusting procedure, yet will make it increasingly weak. Some composites have a higher protection from erosion. Erosion, coincidentally, is a significant issue with most metals. It happens because of an oxidation-decrease response in which metal iotas structure particles making the metal debilitate. The accompanying procedure that has been created to battle consumption in basic applications: conciliatory anode made of a metal with a higher oxidation potential is joined to the metal. Utilizing this system, the conciliatory anode erodes, leaving the auxiliary part, the cathode, unharmed. Erosion can likewise be opposed by the arrangement of a defensive covering outwardly of a metal. For instance, prepares that contain chromium metal structure a defensive covering of chromium oxide. Aluminum is likewise shows consumption safe properties as a result of the development of a solid oxide covering. The recognizable green patina framed by copper is made through a response with sulfur and oxygen noticeable all around. In nature, just a couple of unadulterated metals are found. Most metals in nature exist as minerals, which are mixes of the metal with oxygen or sulfur. The detachment of the unadulterated metal from the mineral regularly requires a lot of vitality as warmth or potentially power. As a result of this huge use of vitality, reusing metals is significant. Numerous metals have high quality, high solidness, and have great flexibility. A few metals, for example, iron, cobalt and nickel are attractive. At long last, at very low temperatures, a few metals and intermetallic mixes become superconductors. Artistic: Artistic materials are inorganic, nonmetallic materials, ordinarily oxides, nitrides, or carbides. Most earthenware production are mixes among metallic and nonmetallic components in which the interatomic bonds are either absolutely ionic, or overwhelmingly ionic yet having some covalent character. While many receive crystalline structures, some structure glasses. The properties of the earthenware production are because of their holding and structure. The term earthenware originates from the Greek word keramikos, which means consumed stuff! This signifie

What Is Dynamic Equilibrium Definition and Examples

What Is Dynamic Equilibrium Definition and Examples SAT/ACT Prep Online Guides and Tips Dynamic balance is a significant idea in science. Be that as it may, what is dynamic balance precisely? In what capacity would something be able to be dynamic yet in addition at harmony? Continue perusing to get familiar with the best powerful balance definition, basic unique harmony models, and how powerful and static balance may appear to be identical however are in actuality totally different. What Is Dynamic Equilibrium? Synthetic responses can either go in the two bearings (forward and opposite) or just in one heading. The ones that go in two ways are known as reversible responses, and you can distinguish them by the bolts going in two ways, similar to the model underneath. H2O(l) â‡Å" H+(aq) + OH-(aq) Dynamic harmony just happens in reversible responses, and it’s when the pace of the forward response is equivalent to the pace of the opposite response. These conditions are dynamic in light of the fact that the forward and invert responses are as yet happening, yet the two rates are equivalent and perpetual, so they’re additionally at balance. Dynamic balance is a case of a framework in a consistent state. This implies the factors in the condition are constant after some time (since the paces of response are equivalent). In the event that you take a gander at a response in unique harmony, it’ll appear as though nothing is going on since the groupings of every substance remain steady. Be that as it may, responses are quite happening. Dynamic balance doesn't simply happen in science labs however; you've seen a powerful balance model each time you've had a pop. In a fixed container of pop, carbon dioxide is available in both the fluid/watery stage and the vaporous stage (bubbles). The two periods of carbon dioxide are in unique harmony inside the fixed soft drink bottle since the vaporous carbon dioxide is dissolving into the fluid structure at a similar rate that the fluid type of carbon dioxide is being changed over back to its vaporous structure. The condition resembles this: CO2(g) â‡Å" CO2(aq). Changing the temperature, weight, or centralization of a response can move the harmony of a condition and take it out of unique balance. This is the reason, on the off chance that you open a soft drink can and forget about it for quite a while, in the long run it'll turn out to be level and there will be no more air pockets. This is on the grounds that the soft drink can is not, at this point a shut framework and the carbon dioxide can collaborate with the environment. This moves it out of powerful balance and discharges the vaporous type of carbon dioxide until there are no more air pockets. Dynamic Equilibrium Examples Any response will be in unique harmony if it’s reversible and the paces of the forward and invert responses are equivalent. For instance, say that you set up an answer that is immersed with a fluid arrangement of NaCl. In the event that you, at that point include strong precious stones of NaCl, the NaCl will be at the same time dissolving and recrystallizing inside the arrangement. The response, NaCl(s) â‡Å" Na+(aq) + Cl-(aq), will be in powerful balance when the pace of the disintegration of the NaCl approaches the pace of recrystallization. Another case of dynamic harmony isNO2(g) + CO(g) â‡Å" NO(g) + CO2(g) (once more, as long as the two rates are equivalent). Nitrogen dioxide (NO2) responds with carbon monoxide (CO) to shape nitrogen oxide (NO) and carbon dioxide (CO2), and, in the opposite response, nitrogen oxide and carbon dioxide respond to frame nitrogen dioxide and carbon monoxide. On the off chance that you’re watching a response, you can tell it’s not at dynamic harmony in the event that you can see changes happening in the measures of reactants or items. (On the off chance that you can’t see any changes, that doesn’t ensure it’s at dynamic balance, since it might be at static harmony or the progressions might be too little to even think about seeing with the unaided eye.) A case of a condition that would never be at dynamic harmony is: 4 Fe(s) + 6 H2O(l) + 3O2(g) â†' 4 Fe(OH)3(s). This is a condition for the development of rust. We can see that it’ll never be in unique harmony on the grounds that the bolt for the response just goes one way (which is the reason a corroded vehicle won’t become sparkly again all alone). There's no unique balance for this vehicle! Dynamic Equilibrium versus Static Equilibrium On the off chance that you watch responses at dynamic balance and responses at static balance, neither one of the wills have obvious changes happening, and it'll seem as though nothing is occurring. Notwithstanding, responses at static balance are in reality totally different from those at dynamic balance. Static harmony (otherwise called mechanical balance) is the point at which the response has halted and there is no development at all between the reactants and items. The response is finished and the forward and turn around response rates are both 0. While responses at dynamic harmony are reversible (can continue in either course), those at static balance are irreversible and can just continue in one direction.However, both unique balance and static balance are instances of frameworks at consistent state, in which the net power activity on the frameworks is zero. The following is a graph indicating the key contrasts among dynamic and static balance. Dynamic Equilibrium Static Equilibrium Reversible Irreversible Response is as yet happening Response has halted Pace of forward response = pace of opposite response Both response rates are zero Happens in a shut framework Can happen in an open or shut framework How Does Dynamic Equilibrium Relate to Rate Constants? At the point when a response is at dynamic harmony, the response will have a particular rate consistent, known as the balance steady, or Keq. The balance steady, or rate consistent, is a coefficient that shows the response remainder (or the overall measures of items and reactants in the response at a given point in time) when the response is at balance. The estimation of the balance steady will disclose to you the general measures of item and reactant at harmony. In the event that Keqis 1000, at harmony there will be generally item. In the event that Keqis somewhere in the range of .001 and 1000, at harmony there will be a lot of both item and reactant. In the event that Keqis .001, at harmony there will be for the most part reactant. For the reactionaA + bBâ‡Å'cC+dD, An and B speak to the reactants and C and D speak to the items. The condition for the balance steady is Keq=[C]c[D]d/[A]a[B]b. Model Take the response N2(g)+O2(g)⇋2NO(g). Utilizing the condition for the balance steady, Keqis equivalent to [NO]2/[N2][O2]. You would either leave the condition this way, or, in case you're given balance fixations/the balance steady, you can plug those in to locate any missing qualities. Let's assume we know the centralizations of both[N2] and [O2]=.15 M and the convergence of [NO] is 1.1 M. Connecting those qualities would give you: Keq= (1.1)2/(.15)(.15) or 1.21/.0225. You can tackle and find that Keq=53.8. SinceKeqis somewhere in the range of .001 and 1000, there will be a huge sum each of NO, O2, and N2at balance. Outline: What Is Dynamic Equilibrium? What is the best unique harmony definition? Dynamic balance happens when, for a reversible response, the pace of the forward response rises to the pace of the converse reaction.Since the two rates are equivalent, it would appear that nothing is going on, however actually the response is consistently happening at its steady rate. Interestingly, responses at stable harmony are finished and no further response is happening. The condition for the harmony steady isKeq=[C]c[D]d/[A]a[B]b. What's Next? Composing an exploration paper for school however not certain what to compose about?Our manual for look into paper topicshas more than 100 subjects in ten classes so you can make certain to locate the ideal point for you. Need to realize the quickest and most effortless approaches to change over among Fahrenheit and Celsius?we have you covered!Check out our manual for the most ideal approaches to change over Celsius to Fahrenheit(or the other way around). Are you considering mists in your science class?Get help recognizing thedifferent sorts of cloudswith our master control.

Friday, August 21, 2020

frost bite :: essays research papers

     Frostbite happens when skin tissue and veins are harmed from introduction to temperatures beneath 32 degrees fahrenheit. It for the most part influences the toes, fingers, ear cartilage, jaw, cheeks and nose, body parts which are regularly left revealed in cool temperatures. Frostbite can happen quickly or bit by bit, contingent upon the temperature conditions and to what extent it is uncovered.  â â â â      Frostbite has three phases. They are frostnip, shallow frostbite, and profound frostbite. Frostnip happens when you have this tingling sensation and the skin turning extremely white and delicate. This stage has no perpetual harm and might be turned around by absorbing warm water or breathing warm breath on the influenced region.  â â â â      Superficial frostbite is the phase of frostbite when rankling happens. the skin feels numb, waxy, and solidified. There are ice precious stones that structure in the skin cells and the remainder of the skin stays adaptable.      Deep frostbite is the most genuine phase of frostbite. The veins, muscles, ligaments, nerves, and bone all might be solidified. This stage prompts perpetual harm, blood clusters and gangrene, in serious cases. You have no inclination in the influenced territory and there as a rule isn't any rankling. Genuine contaminations and loss of lims accur regularly when frostbite arrives at this phase of its turn of events. Nonetheless, even in profound frostbite, solidified lims might be spared if clinical consideration is acquired at the earliest opportunity.      If you are in a circumstance where a patient can't be moved to a clinic promptly, the accompanying rewarming methods may help until arriving at a crisis office.  â â â â -Bring them inside at the earliest opportunity.  â â â â -Apply warm towels or inundate the region in coursing warm water for twenty minutes. Anyway DO NOT  â â â â rub or utilize high temp water.  â â â â -Do not hold the region close to fire since the region might be scorched because of the decreased inclination in the region.  â â â â -Offer the patient warm espresso or tea, however never liquor.  â â â â -Keep the influenced territory raised.      After re-warming, a shallow frostbite will reddon and get agonizing as dissemination continues in the territory. Rankles are probably going to shape inside 24 hours.      While a frostbite injury is recuperating, do the accompanying:  â â â â  â â â â -Avoid contamination by disregarding the rankles.  â â â â -Watch for indications of contamination, for example, redness, growing, fever, overflowing discharge, and red streaks on skin.  â â â â -Take every recommended prescription.  â â â â -Don't uncover the influenced region to cold temperatures until cleared to do as such by a doctor.

Reuse Poetry

Reuse Poetry I got it on Reuse, people say, with the emphasis in the word falling on the re-. When I see the word elsewhere and say reuse in my head, Im reminded of the times I said UROP and my grandparents thought I was mispronouncing the name of a continent, or the way I refused to call class and majors by their course numbers my first few weeks here, because it felt elitist to speak in a code no one outside MIT could understand. I gave in. I now speak in numbers and nicknames and mailing lists. Reuse is a mailing list for giving things away. People email out, describing what theyve left where, and people scurry to claim it and carry it away. Theres a whole region of the pika basement called Reuse, where people leave what they dont need or want, and take what they do (a good portion of my clothing comes from or goes to pika reuse. I have also obtained from it a nice floor lamp, a little bookcase, and fancy sunscreen. I have also seen some much stranger things in there.) There are a few legends of extraordinary Reuse scores, and tales of Reuse gone wrong, but most of it is pretty mundane. The author of MIT Reuse Poetry takes Reuse emails, adds line breaks, and makes poems that are sometimes pretty, sometimes mundane, and sometimes leave you with the feeling you have looked into someones life through their belongings, or seen the chaos of the world through a jumble of discarded items. Some are funny, some are weird, and some make me sad but I cant tell why. Some I scroll past without reading, like I do with most of my emails. Below, for your entertainment: five Reuse poems, straight from the tumblr. Effluvia Appearing shortly on the bench outside of the first floor nautical museum is a box containing, but not limited to: Keyboards Dell/Apple/wireless Microsoft Cables (various usb ones) Juicy fruit tin (no actual gum inside) Devil guy from Fantasia (tiny desk thing) James dean pin Pocket bike racer (Xbox game) Reusable Target bag Pocket translator mini computer thing Star Wars republic commando (this reuse pile is cashing in on the latest Star Wars mania) Clipboard that is also a box that clips shut with pencil compartment 2x 512mb pc3200 ddr A thing your aunt gave you that you don’t know what it is Come and get it. Post if you take something and save someone else the trip. We aren’t savages here. Felt Felt on bench by 1-132 Red, dark brown, and the color of some humans’ flesh A bag of ice melt It’s a 50-pound bag that’s about half full. A red chairâ€"kind of a like a Papasan, with a metal frame. A bag of moss. A stand fan, operational status unknown.

Tuesday, June 23, 2020

Measures of dispersion - Free Essay Example

Summery The measure of central tendency, as discussed in the previous chapter tells us only about the characteristics of a particular series. They do not describe any thing on the observations or data entirely. In other wards, measures of central tendency do not tell any thing about the variations that exist in the data of a particular series. To make the concept, let discuss an example. It was found by using formula of mean that the average depth of a river is 6 feet. One cannot confidently enter into the river because in some places the depth may be 12 feet or it may have 3 feet. Thus this type of interpretation by using the measures of central tendency some times proves to be useless. Hence the measure of central tendency alone to measure the characteristics of a series of observations is not sufficient to draw a valid conclusion. With the central value one must know as to how the data is distributed. Different sets of data may have the same measures of central tendency but differ greatly in terms of variation. For this knowledge of central value is not enough to appreciate the nature of distribution of values. Thus there is the requirement of some additional measures along with the measures of central tendency which will describe the spread of the entire set of values along with the central value. One such measure is p opularly called as dispersion or variation. The study of dispersion will enables us to know whether a series is homogeneous (where all the observations remains around the central value) or the observations is heterogeneous (there will be variations in the observations around the central value like 1, 50, 20, 28 etc., where the central value is 33). Hence it can be said that a measure of dispersion describes the spread or scattering of the individual values of a series around its central value. Experts opine different opinion on why the variations in a distribution are so important to consider? Following are some views on validity of the measure of dispersion: Measures of variation provide the researchers some additional information about the behaviour of the series along with the measures of central tendency. With this information one can judge the reliability of the value that is derived by using the measure of central tendency. If the data of the series are widely dispersed, the central location is less representatives of the data as a whole. On the other hand, when the data of a series is less dispersed, the central location is more representative to the entire series. In other wards, a high degree of variation would mean little uniformity whereas a low degree of variation would mean greater uniformity. When the data of a series are widely dispersed, it creates practical problems in executing data. Measure of dispersion helps in understanding and tackling the widely dispersed data. It facilitates to determine the nature and cause of variation in order to control the variation itself. Measures of variation enable comparison to be made of two or more series with regard to their variability. DEFINATION: Following are some definitions defined by different experts on measures of dispersion. L.R. Connor defines measures of dispersion as à ¢Ã¢â€š ¬Ã‹Å"dispersion is the measure extended to which individual items vary. Similarly, Brookes and Dick opines it as à ¢Ã¢â€š ¬Ã‹Å"dispersion or spread is the degree of the scatter or the variation of the variables about a central value. Robert H. Wessel defines it as à ¢Ã¢â€š ¬Ã‹Å"measures which indicate the spread of the values are called measures of dispersion. From all these definition it is clear that dispersion measures more or less describes the spread or scattering of the individual values of a series around its central value. METHODS OF MEASURING DISPERSION: Dispersion of a series of data can be calculated by using following four widely used methods Dispersion when measured on basis of the difference between two extreme values selected from a series of data. The two well known measures are The Range The Inter-quartile Range or Quartile Deviation Dispersion when measured on basis of average deviation from some measure of central tendency. The well known measures are The Mean/average deviation The Standard Deviation and The Coefficient of variation and The Gini coefficient and the Lorenz curve All the tools are discussed in details below one after the other. THE RANGE: The range is the simplest measure of the dispersion. The range is defined as the difference between the highest value and the lowest value of the series. Range as a measure of variation is having limited applicability. It is widely used for weather forecasting by the meteorological departments. It also used in statistical quality control. Range is a good indicator to measure the fluctuations in price change like that of studying the variations in the price of shares and debentures and other related matters. Following is the procedure of calculating range: Range= value of the highest observation (H) à ¢Ã¢â€š ¬Ã¢â‚¬Å" value of the lowest observation (L) or Range = H à ¢Ã¢â€š ¬Ã¢â‚¬Å" L Advantages of Range: Range is the simplest of obtaining dispersion. It is easily understandable and can be interpreted easily. It requires fewer times to obtain the variation in the series. Disadvantages of Range: As it considers only two extreme values, hence it doesnt include all the observations of the series. It fails to tell any thing about the characteristics of a distribution It is having very limited scope of applicability Having no mathematical treatment THE INTER-QUARTILE RANGE OR QUARTILE DEVIATION: A second measure of dispersion is the inter-quartile range which takes into account the middle half i.e., 50% of the data thus, avoiding the problem of extreme values in the data. Hence it measures approximately how far from the median one must go on either side before it can be include one-half the values of the data set. Inter-quartile range can be calculated by dividing the series of observations into four parts; each part of the series contains 25 percent of the observations. The quartiles are then the highest values in each of these four parts, and the inter-quartile range is the difference between the values of the first and the third quartile. Following are the steps of calculating the inter-quartile range: Arrange the data of the series in ascending order. Calculate the first quartile which is denoted as (Q1) by using the formula In case of grouped data the first quartile (Q1) can be calculated by using the formula Where N= number of observations in the series i.e., the sum of frequencies, L = lower limit of the quartile class, p.c.f. = commutative frequency prior to the quartile class, f = frequency of the quartile class and i = class interval. Quartile class can be determined by using the formula. Calculate the third quartile which is denoted as (Q3) by using the formula in case of ungrouped data. In case of grouped data the third quartile (Q3) can be calculated by using the formula Where N= number of observations in the series i.e., the sum of frequencies, L = lower limit of the quartile class, p.c.f. = commutative frequency prior to the quartile class, f = frequency of the quartile class and i = class interval. Quartile class can be determined by using the formula. THE MEAN/AVERAGE DEVIATION: Mean/average deviation is the arithmetic mean of the difference of a series computed from any measure of central tendency i.e., either deviation from mean or median or mode. The absolute values of each observation are calculated. Clark and Schekade opine mean deviation or average deviations as the average amount of scatter of the items in a distribution from either the mean or the median, ignoring the signs of the deviations. Thus the average that is taken of scatter is an arithmetic mean, which accounts for the fact that this measure is often called as mean deviation or average deviations. Calculations of Mean Deviation in case of Discrete Series: In case of discrete series, mean deviation can be calculated through following steps The first step is to calculate the mean or median or mode of the given series Compute the deviations of the observations of the series from the calculated mean or median or mode. This deviation is also denoted as capital letter D and is always taken as mod value i.e., ignoring the plus or minus sign. Take the summation of the deviations (sum of D) and divide it by number of observations (N). In the same way one can calculate mean deviation from median or mode in case of individual series. Calculations of Mean Deviation in case of discrete series: Mean deviation can be calculated in case of discrete series in a little bit different way. Following are some steps to calculate the average mean when the series is discrete. The first step is to calculate the mean or median or mode of the given series by using the formula as discussed in the previous chapter. Compute the deviations of the observations of the series from the calculated mean or median or mode value. This deviation is also denoted as capital letter D and is always taken as mod value i.e., ignoring the plus or minus sign. Multiply the corresponding frequency with each deviation value i.e., calculate f * D. Similarly, one can calculate the mean deviation or average deviation by taking deviations from median or mode. Calculations of Mean Deviation in case of continuous series: The first step is to calculate the mean or median or mode of the given series by using the formula as discussed in the previous chapter. In the second step, get the mid values of the observations (m) Compute the deviations of the observations of the series from the calculated mean or median or mode value. This deviation is also denoted as capital letter D = m mean or median or mode and is always taken as mod value i.e., ignoring the plus or minus sign. Multiply the corresponding frequency with each deviation value i.e., calculate f * D. Take the summation i.e., (sum of D) and divide it by number of observations (N). The formula may be Advantages of mean deviation: The computation process of mean deviation is based on all the observations of the series. The value of mean deviation is less affected by the extreme items. These are three alternatives available with the researcher while calculating the mean. One can consider the mean or median or mode. Hence it is more flexible in calculation. Disadvantages of mean deviation: The practical usefulness of mean deviation is very less. Mean deviation is not having enough scope for further mathematical calculations. Mod values are considered while calculating the mean deviation. It is criticized by some experts as illogical and unsound. THE STANDARD DEVIATION: Standard deviation or other wise called as root mean square deviation is the most important and widely used measure of variation. It measures the absolute variation of a distribution. It is the right measure that highlights the spread of the observation over and around the mean value. The greater the rate of variation of observations in a series, the greater will be the value of standard deviation. A small value of standard deviation implies a high degree of homogeneity among the observations in the series. If there will be a comparison between two or more standard deviations of two or more series, than it is always advisable to choose that series as ideal one which is having small value of standard deviation. Standard deviation is always measures from the mean or average value of the series. The credit for introducing this concept in the literature goes to Karl Pearson, a famous statistician. It is denoted by the Greek letter (pronounced as sigma) Standard deviation is calculated in following three different series: Standard deviation in case of Individual series Standard deviation in case of Discrete series Standard deviation in case of Continuous series All the above conditions are discussed in detail below. a. Standard deviation in case of individual series: In case of individual series, the value of standard deviation can be calculated by using two methods. Direct method- when deviations are taken from actual mean Short-cut method- when deviations are taken from assumed mean 1. Direct method- when deviations are taken from actual mean: Following are some steps to be followed for calculating the value of standard deviation. The first step is to calculate the actual mean value of the observation In the next column calculate the deviation from each observation i.e., find out () where is the mean of the series. In the next column calculate the square value of the deviations and at the end of the column calculate the sum of the square of the deviations i.e., Divide the total value with the number of observations (N) and than square root of the value. The formula will be . Since the series is having individual observations, some times it so happens that there is no need of taking the deviations. In such a case the researcher can directly calculate the value of the standard deviation. The formula for calculating directly is . 2. Short-cut method- when deviations are taken from assumed mean: In practical uses it so happens that while calculating standard deviation by using the arithmetic mean, the mean value may be in some fractions i.e., .25 etc. This creates the real problem in calculating the value of standard deviation. For this purpose, instead of calculating standard deviation by using the above discussed arithmetic mean methods, researchers generally prefer the method of short-cut which is nothing rather calculation of standard deviation by assuming a mean value. Following are some steps that to be followed for calculating standard deviation in case of assumed mean method: The first step is to assume a value from the X values as mean. This mean value is denoted as A. In the next step deviations are to be calculated from this assumed mean as (X-A) and this value is denoted as D. At the end of the same column, the sum of D () is to be calculated. Calculate the square of each observation of D i.e., calculate. The following formula is to be used to calculate standard deviation of the series. where N is the number of observations in the series. b. Standard deviation in case of discrete series: Discrete series are the series which are having some frequencies or repetitions of observations. In case of a discrete series standard deviation is calculated by using following three methods: when deviations are taken from actual mean when deviations are taken from assumed mean Following are the detailed analysis of the above the two methods. 1. When deviations are taken from actual mean: The steps to calculate standard deviation when deviations are calculated from the actual mean are The first step is to calculate the actual mean value of the observation In the next column calculate the deviation from each observation i.e., find out () where is the mean of the series, this can be denoted as D. In the next column calculate the square value of the deviations and at the end of the column calculate the sum of the square of the deviations i.e., Multiply corresponding frequencies of each observation with the value of D2 in the next column. Divide the total value with the number of observations (N) and than square root of the value. The formula will be 2. When deviations are taken from assumed mean: The steps to calculate standard deviation when deviations are calculated from the actual mean are The first step is to assume a mean value from the observations In the next column calculate the deviation from each observation i.e., find out () where A is the mean of the series, this deviation can be denoted as D. In the next column calculate the square value of the deviations and at the end of the column calculate the sum of the square of the deviations i.e., Multiply corresponding frequencies (f) of each observation with the value of D2 in the next column. Use the following formula to calculate standard deviation c. Standard deviation in case of Continuous series: Standard deviation in case of a continuous series can be calculated by using the following steps Calculate the mid value of the series and denote it as à ¢Ã¢â€š ¬Ã‹Å"m. Assume any value from the mid values and denote it as A Deviations can be calculated from each series i.e., calculate m à ¢Ã¢â€š ¬Ã¢â‚¬Å" A and than divide it with the class interval value (i) i.e., Multiply the corresponding frequencies of each observation with the deviation value and take the sum at the end of the column i.e., calculate In the next column square the deviation values of each observation i.e., calculate Multiply the value of with its frequencies i.e., calculate Use the following formula to get standard deviation. Properties of standard deviation: As tool of variance, standard deviation is used as a good measure of interpretation of the scatteredness of observation of a series. It is a fact that in a normal distribution approximately 68 per cent of the observations of a series lies less than standard deviation away from the mean, again approximately 95.5 per cent of the items lie less than 2 standard deviation value away from the mean and in the same way 99.7 per cent of the items lie within 3 standard deviations away from the mean. Hence covers 68.27 per cent of the items in a series with normal distribution. covers 95.45 per cent of the items in a series with normal distribution and covers 99.73 per cent of the items in a series with normal distribution. Advantage of Standard Deviation: Following are some advantages of standard deviation as a measure of dispersion This is the highest used technique of dispersion. It is regarded as a very satisfactory measure of the dispersion of a series. It is capable of further mathematical calculations. Algebraic signs are not ignored while measuring the value of standard deviation of a series. It is less affected by the extreme observations of a series. The coefficients make the standard deviation very popular measure of the scatteredness of a series. Disadvantages of standard deviation: The disadvantages are It is not easy to understand the concept easily and quickly. It requires a good exercise to calculate the values of standard deviation. It gives more weight to observations which are away from the arithmetic mean. THE COEFFICIENT OF VARIATION: Another useful statistical tool for measuring dispersion of a series is coefficient of variation. The coefficient of variation is the relative measure of standard deviation which is an absolute measure of dispersion. This tool of dispersion is mostly used in case of comparing the variability two or more series of observation. While comparing, that series for which the value of the coefficient of variation is greater is said to be more variable (i.e., the observations of the series are less consistent, less uniform, less stable or less homogeneous). Hence it is always advisable to choose that series which is having less value of coefficient of variation. The value of coefficient is less implies more consistent, more uniform, more stable and of course more homogeneous. The value of coefficient of variation is always measured by using the value of standard deviation and its relative arithmetic mean. It is denoted as C.V., and is measured by using simple formula as discussed below: In practical field, researchers generally prefer to use standard deviation as a tool to measure the dispersion than that of coefficient of variance because of a numbers of reasons (researchers are advised to refer any standard statistics book to know more on coefficient of variance and its usefulness). GINI COEFFICIENT AND THE LORENZ CURVE: An illuminating manner of viewing the Gini coefficient is in terms of the Lorenz curve due to Lorenz (1905). It is generally defined on the basis of the Lorenz curve. It is popularly known as the Lorenz ratio. The most common definition of the Gini coefficient is in terms of the Lorenz diagram is the ratio of the area between the Lorenz curve and the line of equality, to the area of the triangle OBD below this line (figure-1). The Gini coefficient varies between the limits of 0 (perfect equality) and 1 (perfect inequality), and the greater the departure of the Lorenz curve from the diagonal, the larger is the value of the Gini coefficient. Various geometrical definitions of Gini coefficient discussed in the literature and useful for different purposes are examined here. CONCLUSION: The study of dispersion will enables us to know whether a series is homogeneous (where all the observations remains around the central value) or the observations is heterogeneous (there will be variations in the observations around the central value Hence it can be said that a measure of dispersion describes the spread or scattering of the individual values of a series around its central value. For this there are a numbers of methods to determine the variations as discussed in this chapter. But it is always confusing among the researchers that which method is the best among the different techniques that we have discussed? The answer to this question is very simple and says that no single average can be considered as best for all types of data series. The most important factors are the type of data available and the purpose of investigation. Critiques suggest that if a series is having more extreme values than standard deviation as technique is to be avoided. On the other hand in case of more skewed observations standard deviation may be used but mean deviation needs to be avoided where as if the series is having more gaps between two observations than quartile deviation is not an appropriate measure to be used. Similarly, standard deviation is the best technique for any purpose of data. SUMMERY: The study of dispersion will enables us to know whether a series is homogeneous (where all the observations remains around the central value) or the observations is heterogeneous (there will be variations in the observations around the central value). Dispersion when measured on basis of the difference between two extreme values selected from a series of data. The two well known measures are (i) The Range and (ii) The Inter-quartile Range. Dispersion when measured on basis of average deviation from some measure of central tendency. The well known measures are (i) The Mean/average deviation, (ii) The Standard Deviation, (iii) The Coefficient of variation and (iv) The Gini coefficient and the Lorenz curve The range is defined as the difference between the highest value and the lowest value of the series. Range as a measure of variation is having limited applicability. The inter-quartile range measures approximately how far from the median one must go on either side before it can be include one-half the values of the data set. Mean/average deviation is the arithmetic mean of the difference of a series computed from any measure of central tendency i.e., either deviation from mean or median or mode. The absolute values of each observation are calculated. A small value of standard deviation implies a high degree of homogeneity among the observations in the series. If there will be a comparison between two or more standard deviations of two or more series, than it is always advisable to choose that series as ideal one which is having small value of standard deviation. Standard deviation is always measures from the mean or average value of the series. The coefficient of variation is the relative measure of standard deviation which is an absolute measure of dispersion. This tool of dispersion is mostly used in case of comparing the variability two or more series of observation. The most common definition of the Gini coefficient is in terms of the Lorenz diagram is the ratio of the area between the Lorenz curve and the line of equality, to the area of the triangle below the equality line. IMPORTANT QUESTIONS: 1. Age of ten students in a class is considered. Find the mean and standard deviation. 19, 21, 20, 20, 23, 25, 24, 25, 22, 26 The following table derives the marks obtained in Statistics paper by 100 students in a class. Calculate the standard deviation and mean deviation. The monthly profits of 150 shop keepers selling different commodities in a city footpath is derived below. Calculate the mean, mean deviation and standard of the distribution. The daily wage of 160 labourers working in a cotton mill in Surat cith is derived below. Calculate the range, mean deviation and standard of the distribution. Calculate the mean deviation and standard deviation of the following distribution. What do you mean by measure of dispersion? How far it helpful to a decision-maker in the process of decision making? Define measure of Dispersion? Among the various tools of dispersion which tool according to you is the best one, give suitable reason of your answer. What do you mean by measure of dispersion? Compare and contrast various tools of dispersion by pointing out their advantages and disadvantages. Discuss with example the relative merits of range, mean deviation and standard deviation as measures of dispersion. Define standard deviation? Why standard deviation is more useful than other measures of dispersion? The data derived below shows the ages of 100 students pursuing their master degree in economics. Calculate the Mean deviation and standard deviation. Following is the results of a study carried out to determine the number of mileage the marketing executives drove their cars over a 1-year period. For this 50 marketing executives are sampled. Based on the findings, calculate the range and inter-quartile range. In an enquiry of the number of days 230 patients chosen randomly stayed in a Government hospital following after operation. On the basics of observation calculate the standard deviation. Cars sold in small car segment in November 2009 at 10 Maruti Suzuki dealers in Delhi city is explained below. Compute the range, mean deviation and standard deviation of the data series. Following is the daily data on the number of persons entered through main gate in a month to institute. Calculate the range and standard deviation of the series. Calculate the range and coefficient of range of a group of students from the marks obtained in two papers as derived below: Following are marks obtained by some students in a class-test. Calculate the range and coefficient of range. By using the direct and indirect method, calculate the mean deviation by using both arithmetic mean and mode from the following data set which is related to age and numbers of residents of Vasundara apartment, Gaziabad. A local geezer manufacturer at Greater Noida has developed a new and chief variety of geezers which are meant of lower and middle income households. He carried out a survey in some apartments asking the expectations of the customers that they are ready to invest on purchase of geezer. Calculate the standard deviation of the series. Calculate median of the following distribution. From the median value calculate the mean deviation and coefficient of mean deviation. Calculate median of the following distribution. From the median value calculate the mean deviation and coefficient of mean deviation. Calculate the arithmetic average and standard deviation from the following daily data of rickshaw puller of Hyderabad City. From the students of 250 candidates the mean and standard deviations of their total marks were calculated as 60 and 17. Latter in the process of verification it is found that a score 46 was misread 64. Recalculate the correct mean and standard deviation. The wage structure paid on daily basis of two cotton factories are derived below. In order to show the inequality, draw the Lorenz curve. Total marks obtained by the students in two sections are derived below. By using the data draw a Lorenz curve. Draw the Lorenz curve of the following data. Find the range and co-efficient of range for the following data set. The height of 10 firemen working in a fire station are 165, 168, 172, 174, 175, 178, 156, 158, 160, 179 cms. Calculate the range of the series. Now let that the tallest and the shortest firemen are get transformed from the fire station. Calculate the range of the new firemen. What percentage change is found in the earlier range and the latter range? Calculate the quartile deviation from the following derived data. Calculate the interquartile range, quartile deviation and its coefficient for the following data series. Calculate the mean deviation from the following data. Calculate the mean deviation from median and mean for the following series. The distribution derived below reveals the difference in age between husband and wife in a community. Based on the data, calculate mean deviation and standard deviation. Calculate the standard deviation and mean deviation of the following distribution of workers. Calculate the standard deviation and mean deviation of the following distribution of workers. By using the Lorenz curve, compare the extent of inequalities of income distribution between mentioned two groups of persons. Calculate the standard deviation and the coefficient of variation from the following data series. calculate the mean deviation and standard deviation from the mode of the following data. Find out standard deviation from the following data. The data derived below contains the fat contents per gram of 25 chicken burgers from a fast-food shop.