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Arithmetic Mean and Range

The mean of t...

Question

The mean of the numbers $p + 5, 25, 32, 11, 3 p - 1$ and $16$ is 22.Find the value of $p$ .

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Solution

$\frac{p + 5 + 25 + 32 + 11 + 3 p - 1 + 16}{6} = 22$
$4 p + 88 = 132$
$4 p = 44$
$p = 11$

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