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Arithmetic mean of 15, 14, 19, 28, x, 10 is 18. Find value of x.

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answer is C.

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Detailed Solution

The Arithmetic Mean (AM) or average is the ratio of the sum of all observations to the total number of observations.

Average = $\frac{15 + 14 + 19 + 28 + 10 + x}{6}$

$\Rightarrow 18 = \frac{86 + x}{6}$

$\Rightarrow x = 108 - 86$

$\Rightarrow x = 22$

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