Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 2 - Methods for Describing Sets of Data - Exercises 2.71 - 2.89 - Applying the Concepts - Intermediate - Page 65: 2.87b

Answer

$3.88\,\rm mm^{2}.$ Increases if the largest measurement is doubled.

Work Step by Step

The variance has the square of the units of measure of the data items in the sample (here: square millimeters, or $\rm mm^{2}$). It can be obtained by invoking the "Descriptive Statistics" option of our Data Analysis feature to obtain a summary shown below in the attached screen snippet on the left. The variance is $$s^{2}=3.88\,\rm mm^{2}.$$ If we doubled the largest measurement, and calculate the variance again (see the snippet on the right), it becomes $$s^{2}=32.86\,\rm mm^{2}.$$ That is, it would increase.
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