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Arithmetic Mean and Range

Question

The mean of $16, 12, 8, p, 11, 10$ and $9$ is $12$ . Find the value of ' $p$ '.

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Solution

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Mean $= \frac{16 + 12 + 8 + P + 11 + 10 + 9}{7}$

$12 = \frac{16 + 12 + 8 + P + 11 + 10 + 9}{7}$

$12 \times 7 = P + 66$

$P = P + 66$

$P = 84 - 66$

$P = 18$

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