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Find the variance and standard deviation of the data distribution

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

1.    The gas mileages​ (in miles per​ gallon) for 100cars are shown in the frequency distribution. 

(40 pts)

Gas (in miles/gallon)

Freq

f

Relative 

freq

Cum

Freq.

Midpt

x

 

x.f

 

x-x̅

 

 

(x-x̅)2

 

 

f(x-x̅)2

19 - 23

 

 

 

 

 

 

 

 

24 - 28

 

 

 

 

 

 

 

 

29 -33

 

 

 

 

 

 

 

 

34 -38

 

 

 

 

 

 

 

 

39 -43

 

 

 

 

 

 

 

 

44 -48

 

 

 

 

 

 

 

 

49 -53

 

 

 

 

 

 

 

 

54 -58

 

 

 

 

 

 

 

 

A)   Approximate the mean of the data distribution

B)   Calculate the relative and cumulative frequency (just fill out the table)

C)   Calculate the midpoints (use the table above)

D)   Find the deviation of each class (use the table above)

E)   Find the variance and standard deviation of the data distribution (use the table above

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