Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-3 Measures of Variation - Basic Skills and Concepts: 13

Answer

Variance:$37.58$. Standard deviation:$6.13$ Range:$17.5$.

Work Step by Step

By using the results from before: $\mu=11.05$ Variance=$\frac{\sum (x-\mu)^2}{n}=\frac{(3-11.05)^2+(6.5-11.05)^2+...+(17.5-11.05)^2}{5}=37.58.$ Standard deviation=$\sqrt{variance}=\sqrt{37.58}=6.13$ Range=maximum value-minimum value=$20.5-3=17.5$.
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