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# Moments

Raw moments can be defined as the arithmetic mean of various powers of deviations taken from origin.

Moments

## Raw moments:

Raw moments can be defined as the arithmetic mean of various powers of deviations taken from origin. The rth Raw moment is denoted by μr’, r=1,2,3…. Then the first raw moments are given by ## Central Moments:

Central moments can be defined as the arithmetic mean of various powers of deviation taken from the mean of the distribution. The rth central moment is denoted by μr, r=1,2,3…. In general, given n observation x1, x2,…….xn the rth order raw moments (r=0,1,2,…) are defined as follows: ## Relation between raw moments and central moments ### Example 6.15

The first two moments of the distribution about the value 5 of the variable, are 2 and 20. Find the mean and the variance.

### Solution: Tags : Statistics , 11th Statistics : Chapter 6 : Measures of Dispersion
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11th Statistics : Chapter 6 : Measures of Dispersion : Moments | Statistics