Question

Find the mean of the distribution in which variates are 1,2,3...n,the frequency of each being 1

Answer 1

Given: Variate are 1,2,3...n and  frequency of each being 1

To find: The mean of the distribution

Solution:

• Now we have given Variate as 1,2,3...n.

• And the frequency of each being is 1.

• Now since the frequency of each variate is 1 so required mean will be:

• Mean = sum of variate / number of terms.

• Now sum of variate will be sum of n terms = n (n + 1 ) / 2

• Mean = n(n+1)/2 / n

• Mean = (n+1)/2

Answer:

        So the mean of the distribution is n + 1 / 2