Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 11 Data Analysis and Statistics - 11.2 Apply Transformations to Data - 11.2 Exercises - Problem Solving - Page 755: 24

Answer

See below

Work Step by Step

The mean, median, mode, range, and standard deviation of the data set when the outlier is included: $\bar x=\frac{8.3+8.7+9+9.3+9.9+9.9+10.2+10.4+10.7+11+11.2+11.4}{12}=10\\ Median =\frac{9.9+10.2}{2}=10.05\\Mode =9.9\\Range=11.4-8.3=3.1\\\sigma =0.96$ We will then consider the values in inches: The new mean: $10 \times 03937=0.3937$ The new median: $10.05 \times 0.3937=3.96$ The new mode: $9.9 \times 0.3937= 3.9$ The new range: $3.1 \times 0.3937=1.22$ The new standard deviation: $0.96 \times 0.3937=0.38$
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