Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-3 Measures of Variation: 11

Answer

Variance:$ 99.141\ (\$)^2$. Standard deviation:$9.957 \$$ Range:$22.85\$$.

Work Step by Step

The mean can be counted by summing all the data and dividing it by the number of data: $\frac{55.99+69.99+48.95+48.92+71.77+59.68}{6}=59.22$: $\mu=59.22 \ \$.$ Variance=$\frac{\sum (x-\mu)^2}{n}=\frac{(55.99-59.22)^2+(69.99-59.22)^2+...+(59.68-59.22)^2}{6}=99.141 \ (\$)^2.$ Standard deviation=$\sqrt{variance}=\sqrt{99.141 \ (\$)^2}=9.957 \$$ Range=maximum value-minimum value=$71.77 \$-48.92 \$=22.85\$$.
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