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Given a set ${13, x, - 1, 11}$ ${13, x ,-1, 11}$ , for what x would the mean of the set be 3?

1 Answer

Dec 26, 2015

$x = (- 11)$ $x=(-11)$

Explanation:

Sum: $13 + x + (- 1) + 11 = 23 + x$ $13+x+(-1)+11 = 23+x$

Mean: $\frac{Sum}{Count} = \frac{23 + x}{4}$ $("Sum")/("Count") =(23+x)/4$

If Mean $= 3$ $=3$
$XXX \frac{23 + x}{4} = 3$ $color(white)("XXX")(23+x)/4=3$

$XXX 23 + x = 12$ $color(white)("XXX")23+x=12$

$XXX x = - 11$ $color(white)("XXX")x=-11$

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