The average value of a group of observations is 25. If the observations are 29, 32, 16, 7, x and x+4, then find the value of x.

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Solution

The correct option is C
31

Given, average = 25

$\Rightarrow \frac{29 + 32 + 16 + 7 + x + (x + 4)}{6} = 25$

$\Rightarrow 88 + 2 x = 150$

$\Rightarrow 2 x = 150 - 88$

$\Rightarrow x = \frac{62}{2} = 31$

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