Given the set: ${2, - \frac{1}{2}, - \frac{3}{4}, x, \frac{7}{2}}$ ${2,-1/2,-3/4,x,7/2}$ , for what x would the mean of the set be 1/2?

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Answer 1 · 2016-02-04T22:12:35

$x = - \frac{7}{4}$ $x=-7/4$

By definition, the mean or average of a set ${x_{n}}$ ${x_n}$ is given by

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

$therefore 1/2=1/5(2-1/2-3/4+x+7/2)$

$therefore 5/2=x+17/4$

$thereforex=-7/4$ .

Given the set: {2,-1/2,-3/4,x,7/2} {2,−12,−34,x,72} {2,-1/2,-3/4,x,7/2} , for what x would the mean of the set be 1/2?