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Question 5 37 39 35 25 20 37 15 22 28 15 33 31 19 19...

Question 5

37
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37
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192/5000

The following data measures the age of a random sample of 15 individuals in a group of aerobic exercises.

What percentage of the data is within a standard deviation



A. 40%
B. 25%
C. 60%
D. 45%

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Entering the data into excel sheet from A1 to A15

Using Excel function AVERAGE to find the mean, we get

type formula AVERAGE then select the range A1 to A15

Mean = AVERAGE(A1:A15) = 26.27

Using Excel function STDEV.S to find the sample standard deviation, we get

type formula STDEV.S then select the range A1 to A15

Standard deviation = STDEV.S(A1:A15) = 8.50

Now, we need to find the one standard deviation range from the mean

So, lower limit is 17.77 and upper limit is 34.77

There are 9 data values which are between 17.77 and 34.77

total number of data values = 15

So, proportion = (data values between range)/(total number of data values) = 9/15 = 0.6

converting to %, we get 0.6*100 = 60%

option C is correct

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