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

Chapter 1, Problem 10E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

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 2 345

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?

Questions & Answers

QUESTION:

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 2 345

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:

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

       


 

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back