eChapter Name: Measure of Central Tendency
9789358872415
eBook Name: QUESTION BANK ON STATISTICS
by Rakesh Goel
Need of an average
Through frequency distribution are the condensed form of raw data, but these are not sufficient for making comparison between two or more data. Therefore further condensation of frequency distribution into a single figure is made. This single f igure is always representative of the frequency distribution and such a figure is known as average.
Measure of Central Tendency
According to Croxten and Cowden “An average is a single value within the range of the data that is used to represent all the values in the series”. A statistical measure used for representing the centre of central value of a set of observations is known as “Measure of Central Tendency”. It is also called as “Measure of f irst order”.
Characteristics of an ideal Measure of Central Tendency
An ideal measure of central tendency should possess the following properties:
1) It should be rigidly defined i.e. it has a fixed and finite value
2) It should be easy to understand 3) It should be easy to calculate
4) Its calculation should be based on all the observations
5) It should be capable for further algebraic treatment
6) It should not be affected by extreme values of the observations
7) It should be least affected by fluctuations of sampling