Given the set: ${2, - 1, - 3, x, - 3, 2}$ ${2,-1,-3,x,-3,2}$ , for what x would the mean of the set be 3?

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Answer 1 · 2015-12-13T00:27:06

$x = 21$ $x = 21$

The mean of the set is the sum of its elements divided by the number of elements it contains. Thus we have the equation

$mean = \frac{2 + (- 1) + (- 3) + x + (- 3) + (2)}{6} = 3$ $"mean" = (2+(-1)+(-3)+x+(-3)+(2))/6 = 3$

$\Rightarrow \frac{x - 3}{6} = 3$ $=> (x - 3)/6 = 3$

$\Rightarrow x - 3 = 18$ $=> x - 3 = 18$

$\Rightarrow x = 21$ $=> x = 21$

Given the set: {2,−1,−3,x,−3,2} {2,-1,-3,x,-3,2} , for what x would the mean of the set be 3?