Please solve and show work 3.17) Every 10 years, the U.S. Census Bureau ask peop

Question

Please solve and show work

3.17) Every 10 years, the U.S. Census Bureau ask people about the number of people living within their households. The following list shows how eight households responded to the question.

5, 1, 2, 6, 4, 4, 3, 5

a) Calculate the range

b) Calculate the variance

c) Calculate the standard variation

3.25) The following data represent the number of minutes customers at Wendys had to wait in the drive through line before their was taken. Calculate the 2 scores for the following time.

1, 4, 6, 0, 4, 3, 10, 0, 4

a) 1 min

b) 3 mins

c) 7 mins

d) 12 mins

Explanation / Answer

Ans:

3.17)

a)Minimum=1

Maximum=6

Range=6-1=5

b)

population variance=19.5/8=2.4375

Sample variance=19.5/(8-1)=2.7857

c)

population standard deviation=sqrt(19.5/8)=1.5612

Sample standard deviation=sqrt(19.5/(8-1))=1.6690

S.No. xi (xi-3.75)^2 1 5 1.5625 2 1 7.5625 3 2 3.0625 4 6 5.0625 5 4 0.0625 6 4 0.0625 7 3 0.5625 8 5 1.5625 Total 30 19.5 mean= 3.75

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