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

**Moments**

Raw
moments can be defined as the arithmetic mean of various powers of deviations
taken from origin. The r^{th} Raw moment is denoted by μ_{r}’,
r=1,2,3…. Then the first raw moments are given by

Central
moments can be defined as the
arithmetic mean of various powers of deviation taken from the mean of the
distribution. The r^{th} central moment is denoted by μ_{r},
r=1,2,3….

In
general, given n observation *x*_{1},
*x*_{2},…….*x*_{n }the r^{th} order raw moments (r=0,1,2,…) are
defined as follows:

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

Tags : Statistics , 11th Statistics : Chapter 6 : Measures of Dispersion

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11th Statistics : Chapter 6 : Measures of Dispersion : Moments | Statistics

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