Given the set: ${- 6, x, 7, 11, 29, - 4, - 5}$ ${-6,x,7,11,29,-4,-5}$ , for what x would the mean of the set be -9?

Question

Given the set: ${- 6, x, 7, 11, 29, - 4, - 5}$ ${-6,x,7,11,29,-4,-5}$ , for what x would the mean of the set be -9?

1 Answer

Impact of this question

1944 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-11T08:57:12

$\times x = - 95$ $color(white)(xx)x=-95$

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)

$\times - 9 = \frac{1}{7} 7 \sum i = 1 a_{i}$ $color(white)(xx)-9=1/7sum_(i=1)^7 a_i$
$\Rightarrow \frac{- 6 + x + 7 + 11 + 29 - 4 - 5}{7} = - 9$ $=>(-6+x+7+11+29-4-5)/7=-9$

Multiply both sides by $7$ $7$
$\times 7 \cdot \frac{- 6 + x + 7 + 11 + 29 - 4 - 5}{7} = 7 \cdot (- 9)$ $color(white)(xx)color(red)(7*)(-6+x+7+11+29-4-5)/7=color(red)(7*)(-9)$
$\Rightarrow x + 32 = - 63$ $=>x+32=-63$

Add $- 32$ $-32$ to both sides
$\times x + 32 - 32 = - 63 - 32$ $color(white)(xx)x+32color(red)(-32)=-63color(red)(-32)$
$\Rightarrow x = - 95$ $=>x=-95$

Science

Math

Humanities

... and beyond

Given the set: ${- 6, x, 7, 11, 29, - 4, - 5}$ ${-6,x,7,11,29,-4,-5}$ , for what x would the mean of the set be -9?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Given the set: {−6,x,7,11,29,−4,−5} {-6,x,7,11,29,-4,-5} , for what x would the mean of the set be -9?

1 Answer

Explanation:

Related questions

Impact of this question

Given the set: ${- 6, x, 7, 11, 29, - 4, - 5}$ ${-6,x,7,11,29,-4,-5}$ , for what x would the mean of the set be -9?