Given a set ${- 15, 1, 200, x, 1}$ ${-15,1,200,x,1}$ , for what x would the mean of the set be -15?

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Given a set ${- 15, 1, 200, x, 1}$ ${-15,1,200,x,1}$ , for what x would the mean of the set be -15?

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Answer 1 · 2015-12-11T08:41:40

$\times - 262$ $color(white)(xx)-262$

Explanation:

$\times ¯ a = \frac{1}{n} n \sum i = 1 a_{i}$ $color(white)(xx)bar a =1/nsum_(i=1)^n a_i$ (the mean of a set of n data points)

$\times - 15 = \frac{1}{5} 5 \sum i = 1 a_{i}$ $color(white)(xx)-15=1/5sum_(i=1)^5 a_i$
$\Rightarrow \frac{- 15 + 1 + 200 + x + 1}{5} = - 15$ $=>(-15+1+200+x+1)/5=-15$

Multiply both sides by $5$ $5$
$\times 5 \cdot \frac{- 15 + 1 + 200 + x + 1}{5} = 5 \cdot (- 15)$ $color(white)(xx)color(red)(5*)(-15+1+200+x+1)/5=color(red)(5*)(-15)$
$\Rightarrow x + 187 = - 75$ $=>x+187=-75$

Add $- 187$ $-187$ to both sides
$\times x + 187 - 187 = - 75 - 187$ $color(white)(xx)x+187color(red)(-187)=-75color(red)(-187)$
$\Rightarrow x = - 262$ $=>x=-262$

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Given a set ${- 15, 1, 200, x, 1}$ ${-15,1,200,x,1}$ , for what x would the mean of the set be -15?

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Explanation:

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Science

Math

Humanities

... and beyond

Given a set {−15,1,200,x,1} {-15,1,200,x,1} , for what x would the mean of the set be -15?

1 Answer

Explanation:

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Given a set ${- 15, 1, 200, x, 1}$ ${-15,1,200,x,1}$ , for what x would the mean of the set be -15?