Help. Thank you! A survey asked a group of medical doctors how many children the

Question

Help. Thank you!

A survey asked a group of medical doctors how many children they had fathered. The results are summarized by this ungrouped frequency distribution Number of Children 0 1 2 3 4 6 Number of Doctors 14 12 22 15 5 3 (a) Calculate the sample mean for the number of children the doctors had fathered. (Give your answer correct to two decimal places.) (b) Calculate the varlance for the number of children the doctors had fathered using the short-cut formula and verify it with your graphing calculator. (Give your answer corect to two decimal places.) (c) Calculate the standard deviation for the number of children the doctors had fathered. (Give your answer correct to two decimal places.)

Explanation / Answer

Ans:

a)Sample mean=139/71=1.96

b)Sample variance=150.8732/(71-1)=2.16

c)Sample standard deviation=sqrt(150.8732/(71-1))=1.47

*(if it would population variance=150.8732/71=2.12 and population std.deviation=sqrt(2.12)=1.46)

x f x*f (x-mean)^2*f 0 14 0 53.6588 1 12 12 11.0073 2 22 44 0.0393 3 15 45 16.2944 4 5 20 20.8540 6 3 18 49.0195 Total 71 139 150.8732

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