Algebra 2 (1st Edition)

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

Chapter 11 Data Analysis and Statistics - 11.1 Find Measures of Central Tendency and Dispersion - 11.1 Exercises - Problem Solving - Page 749: 30b

Answer

See below

Work Step by Step

The mean, median, mode, range, and standard deviation of the data set when the outlier is not included: $\bar x=\frac{82.66+82.32+80.57+80.17+78.72+76.94+74.72+74.26}{8}\approx 78.795\\ Median =\frac{80.17+78.72}{2}=79.445\\Mode =none\\Range=82.66-74.26=8.4\\\sigma =\sqrt \frac{(82.66-78.795)^2+(82.32-78.795)^2+...+(74.26-78.795)^2}{8}=3.02$
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