If the mean of observations $x, x + 2, x + 4, x + 6$ and $x + 8$ is $11$ , find the value of $x$ :

8

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5

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6

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7

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Solution

The correct option is C $7$
Mean of observations $x, x + 2, x + 4, x + 6, x + 8$ is $11$
Mean $= \frac{Sum}{Number of observation}$
Mean $= \frac{x + x + 2 + x + 4 + x + 6 + x + 8}{5} = 11$
$\frac{5 x + 20}{5} = 11$
$5 x + 20 = 55$
$5 x = 55 - 20$
$5 x = 35$
$x = 7$
Hence the answer is option $D$

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