A sample of 100 adult women was taken, and each was asked how many children she had. The results were as follows:
Children 
0 
1 
2 
3 
4 
5 
Number of Women 
27 
22 
30 
12 
7 
2 
a. Find the sample mean number of children.
b. Find the sample standard deviation of the number of children.
c. Find the sample median of the number of children.
d. What is the first quartile of the number of children?
e. What proportion of the women had more than the mean number of children?
f. For what proportion of the women was the number of children more than one standard deviation greater than the mean?
g. For what proportion of the women was the number of children within one standard deviation of the mean?
Answer:
Step 1 of 8:
Given a sample of 100 adult women was taken, and each was asked how many children she had, and the results are tabulated below.
Children (x) 
Number of women (f) 
fx 

0 
27 
0 
0 
1 
22 
22 
22 
2 
30 
60 
120 
3 
12 
36 
108 
4 
7 
28 
112 
5 
2 
10 
50 
= 156 
412
