# Given a set {-2, x, -3, -4, 1,

Nathen Peterson 2022-03-25 Answered
Given a set {-2, x, -3, -4, 1, 15, 22, 2}, for what x would the mean of the set be -12?
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Raiden Griffin
$\stackrel{―}{x}=\frac{1}{n}\sum _{i=1}^{n}{a}_{i}$ (the mean of a set of n data points)
$-12=\frac{1}{8}\sum _{i=1}^{8}{a}_{i}$
$⇒\frac{x-4-3-2+1+2+15+22}{8}=-12$
Multiply both sides by 8
$8×\frac{x-4-3-2+1+2+15+22}{8}=8×-12$
$⇒x+31=-96$
Add -31 to both sides
x+31-31=-96-31
$⇒x=-127$