For the data $1, 5, 7, x + 1, 9, x - 2, 3$ if the mean is $4$ , find the value of $x .$

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Solution

Find the value of $x$ :
Mean $= \frac{s u m o f o b s e r v a t i o n s}{t o t a l n u m b e r o f o b s e r v a t i o n}$
$\frac{1 + 5 + 7 + (x + 1) + 9 + (x - 2) + 3}{7} = 4$
$\Rightarrow \frac{2 x + 24}{7} = 4 \Rightarrow 2 x + 24 = 28 \Rightarrow x = \frac{4}{2} \Rightarrow x = 2$
Therefore, the value of $x i s 2$ .

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