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 num- ber of children more than one standard deviation greater than the mean? g. For what proportion of the women was the num- ber of children within one standard deviation of the mean?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter19: Probability And Statistics In Engineering
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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 num-
ber of children more than one standard deviation
greater than the mean?
g. For what proportion of the women was the num-
ber of children within one standard deviation of
the mean?
Transcribed Image Text: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 num- ber of children more than one standard deviation greater than the mean? g. For what proportion of the women was the num- ber of children within one standard deviation of the mean?
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