Answer
$x=51$
Work Step by Step
$\text{Mean}=\frac{\text{Sum of data}}{\text{Number of data values}}=11.5$
$\implies \frac{12.5+(-10)+(-7.5)+x}{4}=11.5$
$\implies \frac{-5+x}{4}=11.5$ or $-5+x=4(11.5)$
$\implies -5+x=46$ or $x=46+5=51$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 11 - Data Analysis and Displays - 11.1 - Measures of Center and Variation - Exercises - Page 590: 12
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