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Definition of Central Tendency
The central tendency of a variable means a typical value around which other values tend to concentrate which can be measured. Such concentration of the values in the central part of distribution is referred as measure of central tendency also known as averages. Thus averages are typical values around which other items of the distribution congregate. They are the value of a statistical series. In the words of Yule and Kendall, Measure of the location or position of frequency distribution are called averages ,According to croxton and Cowden, An average is a single value within the range of the data which is used to represent all the value in the series. Since an average is somewhere within the range of the data , it is sometimes called a measure of central value .
Similarly A,E.Waugh has defined it as an average is a single value selected from a group of value to represent them in some way a value which is supposed to stand for whole group of which it is a part or typical of all the value in the group.
Dr. A. L. Bowley has said statistics may right be called the science of average.
Given a certain population there are various ways in which a sample may be drawn from it. The chart below illustrates this point: Figure 1 In Judgem
First Moment of Dispersion or Mean Deviation Mean deviation or the average deviation is the measure if dispersion which is based upon all the items in a variable .It is the a
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discuss the mathematical test of adequacy of index number of formulae. prove algebraically that the laspeyre, paasche and fisher price index formulae satisfies this test. What is
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This probability rule determined by the research of the two mathematicians Bienayme' and Chebyshev, explains the variability of data about its mean when the distribution of the dat
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