Essentials of Statistics for the Behavioral Sciences 8th Edition

Published by Cengage Learning
ISBN 10: 1133956572
ISBN 13: 978-1-13395-657-0

Chapter 3 - Measures of Central Tendency - Problems - Page 85: 4

Answer

$M=2.786$ $median=2.5$ $mode=1$

Work Step by Step

$M=\frac{∑X}{N}=\frac{∑fX}{∑f}=\frac{1\times6+2\times5+2\times4+2\times3+2\times2+5\times1}{1+2+2+2+2+5}=\frac{39}{14}=2.786$ Since there are 14 scores ($N=14$), the median is the mean between the 7th and the 8th scores in ascending order: $median=\frac{2+3}{2}=2.5$ The score $X=1$ has the greatest frequency ($f=6$). $mode=1$
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