Measures of Central Tendency

(i) It is an average of a distribution , having single value.

(ii) It represents whole distribution .

(iii) Measures of central tendency exhibit a tendency to cluster or centre around a specific value.

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Objective of Measures of Central Tendency

(i) To present vast data in a summarized form .

(ii) Helpful to compare and to establish relationship .

(iii) Very helpful in decision making .

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Requisites of a Good Statistical Average

(i) Defined firmly

(ii) Simple in computation.

(iii) Easy to understand.

(iv) Based on all observations

(v) Allow further algebraic treatment.

(vi)There is no affect of extreme observations.

(vii)The least affect of sampling fluctuations.(sampling stability)

(viii)Able to calculate in open-end class interval.

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Types of Averages

Classified into two categories .

(i) Mathematical Averages :

(a) Arithmetic Mean or Mean .

(b) Geometric Mean .

(c) Harmonic Mean .

(ii) Positional Averages :

( a) Median .

(b) Mode .

(c) Quantiles or fractiles or partition values (Quartiles, Deciles , Percentiles).