Look at the given numbers :

4 , 7 , 8 , 9 , x , 12 , 3 , 4 and 5.

If the Mean of these numbers is 7, find x

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Solution

The correct option is B
11

Mean is given by - $\frac{S u m o f o b s e r v a t i o n s}{N o . o f o b s e r v a t i o n s}$

Mean = 7

Sum of observations = 4 + 7 + 8 + 9 + x + 12 + 3 + 4 + 5 = 52 + x

Number of observations = 9

$∴$ $\frac{S u m o f o b s e r v a t i o n s}{N o . o f o b s e r v a t i o n s}$ = 7

$\Rightarrow$ $\frac{52 + x}{9}$ = 7

$\Rightarrow$ 52 + x = 63

$\Rightarrow$ x = 63 - 52 = 11

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