In the case of sampling variables each member of the population provides the value of the variable and the aggregate of these values forms the frequency distribution of the population. From the population, a random sample of size n can be drawn by any of the sampling methods discussed before which is same as choosing n values of the given variables from the distribution.
Let x1, x2,…… xn be a random sample of size n from a large population X1, X2,……………. XN with mean μ and variance σ2. Then the sample mean () and variance (s2) are given by
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