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Step-Deviation Method of Finding Mean

If the arithm...

Question

If the arithmetic mean of $5, 7, 9, x$ is $9$ , then the value of $x$ is

11

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15

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18

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16

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Solution

The correct option is B $15$
Given, arithmetic mean $= 9$
A.M. $=$ $\frac{S u m}{N u m b e r}$
A.M. $=$ $\frac{5 + 7 + 9 + x}{4}$
$\Rightarrow 9 = \frac{21 + x}{4}$
$\Rightarrow x = 36 - 21$
$\Rightarrow x = 15$

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