Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 10 - Statistics - Review Exercises - Page 752: 21

Answer

The weighted mean is 64.5

Work Step by Step

The weighted mean is the average of all the numbers in a set of numbers. If a number occurs multiple times it is counted that many times in the average. Sum the frequencies to find the total number of items in the set. $f=4+10+8+12+10=44$ Sum all the test scores and divide by the frequency count to find the weighted mean. $m=((46\times4)+(54\times10)+(62\times8)+(70\times12)+(78\times10))\div44$ =$(184+540+496+840+780)\div44$ =$2840\div44$ =$64.5$
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