Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Section 3.1 - Assess Your Understanding - Applying the Concepts - Page 139: 39c

Answer

$Mean=52.5$ thousand dollars. $Median=\frac{52.5+52.5}{2}=52.5$ thousand dollars. $Mode=52.5$ thousand dollars. Each of them increased by $2500 (2.5 thousand dollars).

Work Step by Step

Let's add the bonuses: $30+0.05\times30=31.5$ $30+0.05\times30=31.5$ $45+0.05\times45=47.25$ $50+0.05\times50=52.5$ $50+0.05\times50=52.5$ $50+0.05\times50=52.5$ $55+0.05\times55=57.75$ $55+0.05\times55=57.75$ $60+0.05\times60=63$ $75+0.05\times75=78.75$ $Mean=\frac{31.5+31.5+47.25+52.5+52.5+52.5+57.75+57.75+63+78.75}{10}=52.5$ $Median=\frac{52.5+52.5}{2}=52.5$. The mean between the fifth and sixth values. $Mode=52.5$. The highest frequency.
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