## Elementary Statistics (12th Edition)

Published by Pearson

# Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-4 Measures of Relative Standing and Boxplots - Basic Skills and Concepts - Page 124: 6

#### Answer

a)1.766 b)3.01. c)3.01 d)Not usual.

#### Work Step by Step

a) Difference between the magnitude of the strongest earthquake and the mean magnitude: $2.95-1.184=1.766.$ b)$z=\frac{x-\mu}{\sigma}=\frac{2.95-1.184}{0.584}=3.01.$ Hence the magnitude of the strongest earthquake is 3.01 standard deviations from the mean magnitude. c))$z=\frac{x-\mu}{\sigma}=\frac{2.95-1.184}{0.584}=3.01.$ d) The strongest earthquake's z-score is not between -2 and 2, hence it is not usual.

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