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 - Review - Review Exercises: 2

Answer

Not unusual.

Work Step by Step

The mean can be counted by summing all the data and dividing it by the number of data: $\frac{1550+1642+1538+1497+1571}{5}=1559.6.$ Standard deviation=$\sqrt{\frac{\sum (x-\mu)^2}{n-1}}=\sqrt{\frac{(1550-1559.6)^2+...+(1571-1559.6)^2}{4}}=53.38.$ $z=\frac{value-mean}{standard \ deviation}=\frac{1642-1559.6}{53.38}=1.54.$ The z-score is between -2 and 2, hence it is not unusual.
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