Compute the variance and standard deviation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Consider a sample with data values of 5, 20, 7, 19, and 9. Compute the variance and standard deviation.

Expert Solution
Step 1

The sample mean is,

x¯=xn=5+20+7+19+95=605=12

The sample mean is 12.

The sample variance is,

s2=x-x¯2n-1=5-122+20-122+7-122+19-122+9-1225-1=49+64+25+49+94=1904=47.5

Thus, the sample variance is 47.5.

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