Given the set: ${5, 3, 6, - 2, 5, 6, - 1, x}$ ${5,3,6,-2,5,6,-1,x}$ , for what x would the mean of the set be 0?

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Answer 1 · 2015-12-28T21:56:41

$x = - 22$ $x=-22$

By definition, the mean or average of a set of data is given by

$¯ x = \frac{1}{n} n \sum i = 1 x_{i}$ $barx=1/nsum_(i=1)^nx_i$ .

Application in this particular case yields :

$0 = \frac{1}{8} (5 + 3 + 6 - 2 + 5 + 6 - 1 + x)$ $0=1/8(5+3+6-2+5+6-1+x)$

$therefore x=-22$

Given the set: {5,3,6,-2,5,6,-1,x} {5,3,6,−2,5,6,−1,x} {5,3,6,-2,5,6,-1,x} , for what x would the mean of the set be 0?