Measures of Central Tendency
Human mind is incapable of remembering the entire mass of unwieldy data. Having learnt the methods of collection and presentation of data, one has to condense the data to get representative numbers to study the characteristics of data. The characteristics of the data set is explored with some numerical measures namely measures of central tendency, measures of dispersion, measures ofskewness, and measures of kurtosis. This unit focuses on “Measure of central tendency”. The measures of central tendency are also called “the averages”.
In practical situations one need to have a single value to represent each variable in the whole set of data. Because, the values of the variable are not equal, however there is a general tendency of such observations to cluster around a particular level. In this situation it may be preferable to characterize each group of observations by a single value such that all other values clustered around it. That is why such measure is called the measure of central tendency of that group. A measure of central tendency is a representative value of the entire group of data. It describes the characteristic of the entire mass of data. It reduces the complexity of data and makes them amenable for the application of mathematical techniques involved in analysis and interpretation of data.