Question

If the mean of 8, 2, x, 6, 5 is 6, than find the value of x.

Answer 1

$mean = \frac{sum \: of \: observations}{number \: of \: observations}$

therefore,

$\frac{8 + 2 + x + 6 + 5}{5} = 6$

$8 + 2 + x + 6 + 5 = 30$

$21 + x = 30$

$x = 30 - 21 = 9$

so , x=9

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Answer 2

The value of x is "9".

Step-by-step explanation:

$The \ given \ series \ is:\\8, 2, x, 6, 5\\ Mean=6\\As \ we \ know,\\Mean=\frac{Sum \ of \ observations}{Number \ of \ observations} \\On \ putting \ the \ values \ in \ the \ above \ formula,we \ get\\6=\frac{8+2+x+6+5}{5}\\6=\frac{21+x}{5}\\ On \ applying \ cross \ multiplication,we \ get\\6*5=21+x\\30=21+x\\On \ subtracting \ "21" \ from \ both \ sides, we \ get\\30-21 =21+x-21\\x=9$

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