StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...

The Central Limit Theorem - Term Paper Example

Comments (0) Cite this document
Summary
The main aim of this paper “The Central Limit Theorem” is to give a brief introduction about an important topic of the Statistics, which is used in the analysis of Descriptive Statistics with the help of SPSS and also useful in conducting the statistical inference…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER95.6% of users find it useful
The Central Limit Theorem
Read TextPreview

Extract of sample "The Central Limit Theorem"

Download file to see previous pages The central limit theorem tells us that when an infinite number of successive random samples have been taken from a big or small area of population, and it also states the distribution of sample “Means” which are calculated for each of the sample given and these distributions will become “approximately normally distributed” with mean “μ” and the shape of the population distribution (“Central Limit Theorem”). The central limit theorem is closely related to probability theory or we can say that in probability theory, central limit theorem plays a major role.The central limit theorem tells us that when an infinite number of successive random samples have been taken from a big or small area of population, and it also states the distribution of sample “Means” which are calculated for each of the sample given and these distributions will become “approximately normally distributed size (N) becomes larger, irrespective of the shape of the population distribution (“Central Limit Theorem”). The central limit theorem is closely related to probability theory or we can say that in probability theory, central limit theorem plays a major role.With the help of this paper, we will know that there are three major and different workings of the central limit theorem.1. Successive sampling from a population2. increasing sample size3. population distributionAll along with the concepts of standard deviation and the normal distribution, we generally know that the concept of central limit theorem is one of the backbones of statistics especially for the descriptive testing and hypothesis. CLT, Central Limit Theorem, is also that theorem which is widely spread and it is not a very easy thing to grasp in minutes, as it requires deep study and full understanding. In this paper, we have chosen to discuss the central limit theorem and tried to solve the related problems with the help of formulas and testing methods (Chen, Goldstein and Shao 128).Most of the students are highly interested in knowing how the means of samples are taken from the same population, which all have the same size and from the population, which vary about the population mean. All steps solving the problems using CLT are almost similar to the steps we use to use in solving the problems with the help of “The Normal Distribution" (Chen, Goldstein and Shao 134). ...Download file to see next pagesRead More
Cite this document
  • APA
  • MLA
  • CHICAGO
(The Central Limit Theorem Term Paper Example | Topics and Well Written Essays - 1750 words, n.d.)
The Central Limit Theorem Term Paper Example | Topics and Well Written Essays - 1750 words. Retrieved from https://studentshare.org/statistics/1779551-statistics-term-paper
(The Central Limit Theorem Term Paper Example | Topics and Well Written Essays - 1750 Words)
The Central Limit Theorem Term Paper Example | Topics and Well Written Essays - 1750 Words. https://studentshare.org/statistics/1779551-statistics-term-paper.
“The Central Limit Theorem Term Paper Example | Topics and Well Written Essays - 1750 Words”, n.d. https://studentshare.org/statistics/1779551-statistics-term-paper.
  • Cited: 1 times
Comments (0)
Click to create a comment or rate a document

CHECK THESE SAMPLES OF The Central Limit Theorem

Humans' Limit

...? Sai Thiha Soe Durso English 28 (Tues-Thursday 3:30pm-5:00pm) March 29 Human Limits Human beings live in the Universe in order to mold what they are doing into as best shape and condition as they can. Craziness is something which lives inside of the people who don’t have the limitations. This is also the reason why parents teach their children how to be in an un-controlled in order to be more mature little by little. In a specific professional field, you have to hold your emotion, the human nature which might lead you the wrong way. To a place that you wouldn’t recognize, in order to achieve stability. Thus, limiting what you are doing plays an important role in your life. In the story...
2 Pages(500 words)Essay

Limit switches

...Limit Switches and Introduction of Sensor In this paper, several aspects regarding limit switches are considered, firstly, there is the introductory part of the limit switches and the roles they operate as sensors. The history of the sensor is also highlighted and it accounts for the development of the sensors to what is contemporary limit switches. It coming into place is also discussed under the inventor which is coupled with the how it is applied in the industries as well as the industries where the kind of sensors are engaged. The theoretical understanding on how the sensor operates and achieves it roles is also adequately highlighted considering the glaring points...
3 Pages(750 words)Research Paper

Speed Limit

...PROJECTED INCOME MENT Projected Year Ended 31 March 2009 ' m 2008 ' m 2007 ' m ' Revenue 21,619 20,704 20,223 Other Operating Income 459 349 233 Operating Costs (18,743) (18,679) (17, 915) Operating Profit 3,335 2,356 2,541 Finance Expense (3,162) (2,891) (2,604) Finance Income 2,631 2,513 2,510 Net Finance Expense (531) (378) (94) Share of post tax (losses) profits of associates and joint ventures (9) (11) 15 Profit on disposal of associates and joint ventures - specific items 2 9 22 Profit before taxation... INCOME MENT ...
2 Pages(500 words)Essay

The Pythagorean Theorem

...THE PYTHAGOREAN THEOREM [Source: http www.arcytech.org/java/pythagoras/preface.html] April 30, 2008 The Pythagorean Theorem In mathematics, the Pythagorean Theorem is a relation in Euclidean geometry among the three sides of a right triangle. The theorem is named after the Greek mathematician Pythagoras who lived in the 6th century B.C. The theorem is as follows: "In any right angle triangle, the area of the square of the side opposite the right angle i.e. whose side is the hypotenuse is equal to the sum of the areas of the squares of the two sides that meet at a right angle i.e. whose sides are the two legs" In other words The square on the hypotenuse is equal to the sum of the squares on the other two sides Geometric... ...
14 Pages(3500 words)Essay

Discussion Questions Week 4

...ASSIGNMENT CENTRAL LIMITED THEOREM I would easily demonstrate the central limit theorem to my mates by using the example of coin tosses.Say I toss a coin so that every time it lands on its head I score a 1 and every time its tails, I score a 0. Now it I conducted batches of 100 experiments, and added up the total scores, the scores can theoretically vary from 0-100. Now if the experiment is repeated many, many times, I would end up with a situation as shown in the diagram below, where the horizontal axis shows the score and the vertical axis the number of times each score occurs : By the central limit...
2 Pages(500 words)Essay

Pythagorean Theorem

...Pythagorean Theorem (Add (Add (Add Pythagorean Theorem Introduction Evidences show that Pythagorean Theorem was popular even among ancient civilizations. This famous theorem was developed by the Greek mathematician and philosopher Pythagoras. Historical writings argue that though Babylonian mathematicians had knowledge in the theorem, they could not develop it into a mathematical framework. Unlike any other mathematical theorem, the Pythagorean...
3 Pages(750 words)Essay

5-color theorem

...Five-Color Theorem The five color theorem, also referred to as the five color map theorem, is a mathematical theoremthat was developed from the graph theory. The theorem states that for a given plane divided into adjoining regions, such that it results in a form of a map of countries, no more than five colors are necessary to color the regions of the political map such that no two neighboring areas of the map are colored with the similar color. The five color theorem was developed as an extension to the four color theorem which was proved to have an error in its proof. To understand the five color theory it is necessary to go to the...
2 Pages(500 words)Essay

Coase Theorem

...Coase Theorem Coase Theorem Coase theorem targets economic efficiency that is attributed to economic allocation and outcome when externalities are present. The theory stipulates that if trade is possible in the presence of an externality when transaction costs are significantly low, the end result will be an efficient outcome when initial allocation of property is not considered. The major obstacles to Coasian bargaining emerge when property rights have been defined poorly (Buchanan, 2005). This paper will discuss Coase theorem as an alternative to government regulation in terms of facilitating for the provision of goods and services. Ronald Coase stipulated that...
2 Pages(500 words)Essay

Bayes' Theorem

...Bayesian Theorem Introduction Reverend Thomas Bayes developed Bayes’ theorem of probability. The theorem provides understanding about the how the probability of a theorem is affected by a new set of evidence. It is applied to in a variety of context to explore a relationship between theory and evidence. Contemporary, the theorem’s application is broad, ranging from mathematics to the field of science. It explains the relations between two theories and evidences. It allows the researcher to determine the relation between current beliefs with respect to previous beliefs and evidences. Simon Jackman (2009) defines Bayes’ theorem as ‘a...
15 Pages(3750 words)Essay

Liquid limit

...Atterberg Limit Tests – Liquid and Plastic Limits Purpose: The major purpose of this experiment is to determine the plastic and liquid limits, in addition to the plasticity index of a fine-grained soil. The process involved towards achievement of the purpose made use of the amount of soil water as a core aspect. In which case, Liquid Limit (LL) refers to the water content at the division between the liquid and plastic state while the plastic limit is the water content at the part between plastic and semisolid state (Cripps et al, 2006, 228). For plasticity index, it is defined as the numerical difference established between the plastic...
3 Pages(750 words)Lab Report
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.

Let us find you another Term Paper on topic The Central Limit Theorem for FREE!

Contact Us