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: 6

Answer

Variance:$979338.44 \$^2.$ Standard deviation:$989.62\$$ Range:3335\$.

Work Step by Step

By using the results from before: $\mu=51596.6\$.$ Variance=$\frac{\sum (x-\mu)^2}{n}=\frac{(54410-51596.6)^2+(51991-51596.6)^2+...+(50875-51596.6)^2}{10}=979338.44 \$^2.$ Standard deviation=$\sqrt{variance}=\sqrt{979338.44 \$^2}=989.62\$$ Range=maximum value-minimum value=54410\$-50875\$=3335\$.
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