If a variable X takes values 1,2,3,4...........,n with frequencies nC0 , nC1 ,nC2 , ................. nCn , then write the variance of X.

Please give detailed steps

thanks in advance .

Dear student,

The variance is computed as the average squared deviation of each number from its mean. For example, for the numbers 1, 2, and 3, the mean is 2 and the variance is:

.

The formula  for the variance is



where μ is the mean and N is the number of scores.

When the variance is computed in a sample, the statistic

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