## Essentials of Statistics (5th Edition)

Published by Pearson

# Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-3 Measures of Variation - Page 107: 5

Variance:$10547.95(million \$)^2.$Standard deviation:$102.7 \ million \$$Range:265m\. #### Work Step by Step The average can be counted by summing all the data and dividing it by the number of data: \frac{332+302+235+225+100+90+88+84+75+67}{10}=159.8. \mu=159.8 \ million. Variance=\frac{\sum (x-\mu)^2}{n}=\frac{(332m-159.8m)^2+(302m-159.8m)^2+...+(67m-159.8m)^2}{10}=10547.95 (million \)^2. Standard deviation=\sqrt{variance}=\sqrt{9493.16(million \)^2}=102.7 \ million \$$ Range=maximum value-minimum value=332m\$-67m\$=265m\\$.

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