Answer
$12$
Work Step by Step
$S=\displaystyle \sum(x-2)^{2}$ = sum of all the squares of differences.
\begin{align*}
S&=(5-2)^{2}+(1-2)^{2}+(3-2)^{2}+(2-2)^{2}+(1-2)^{2}\\
&=9+1+1+0+1\\
&=12\end{align*}
Statistics (12th Edition)
by McClave, James T.; Sincich, Terry T.
Published by
Pearson
ISBN 10:
0321755936
ISBN 13:
978-0-32175-593-3
Chapter 2 - Methods for Describing Sets of Data - Exercises 2.44 - 2.47 - Learning the Mechanics - Page 50: 2.46b
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