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Mean

If the arithm...

Question

If the arithmetic mean of 7,5,13, x and 9 is 10, then the value of x is

A

10

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B

12

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C

14

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D

16

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Solution

The correct option is D
16

Arithmetic mean of 7,5,13,x, 9 is 10.

Mean $= \frac{7 + 5 + 13 + x + 9}{5} = \frac{34 + x}{5}$

$∴ \frac{34 + x}{5} = 10 \Rightarrow$ 34+x = 50

$\Rightarrow$ x = 50-34 = 16

$∴$ x = 16

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