Given the set: ${- 3, 2, - 5, 1, x, 7}$ ${-3,2,-5,1,x,7}$ , for what x would the mean of the set be 3?

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Answer 1 · 2015-12-30T15:35:57

$x = 16$ $x=16$

By definition, the mean or average is : $¯ x = \frac{1}{n} n \sum I = 1 x_{i}$ $barx=1/nsum_(I=1)^nx_i$ .

Substituting the given values into this formula we get

$3 = \frac{1}{6} (- 3 + 2 - 5 + 1 + x + 7)$ $3=1/6(-3+2-5+1+x+7)$

$therefore x=16$ .

Given the set: {-3,2,-5,1,x,7} {−3,2,−5,1,x,7} {-3,2,-5,1,x,7} , for what x would the mean of the set be 3?