If the average of the values $9, 6, 7, 8, 5$ and x is $8$ . Find the value of x.

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Solution

Here, the given values are $9, 6, 7, 8, 5$ and x, also n $= 6$ .
By formula, A.M. $= ¯ x = \frac{9 + 6 + 7 + 8 + 5 + x}{6} = \frac{35 + x}{6}$
By data, $¯ x = 8$
So, $\frac{35 + x}{6} = 8$
i.e., $35 + x = 48$
$x = 48 - 35 = 13$ .

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