A sample of 100 adult women was taken and each was asked how

A sample of 100 adult women was taken, and each was asked how many children she had. the results were as

Q1: A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows: a. Find the sample mean number of children. b. Find the sample standard deviation of the number of children. c. What is the first quartile of the number of children? d. What proportion of the women had more than the mean number of children?

Solution

a. Mean number of children = (50*1.5 + 3.5*30 + 5.5*15 + 7.5 * 5) / 100 = 3 child per women

d. more than mean = (30/2 + 15 + 5)/100 = 35/100 = 0.35