If $\sum f x = 5 x + 2$ and $\sum f = 12$ and the mean of the distribution is 6, then the value of $x$ is less than _____.

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Solution

The correct options are
C
15

D
18

We know
$M e a n = \frac{\sum f x}{\sum f}$
$⟹ 6 = \frac{5 x + 2}{12}$
$⟹ 5 x + 2 = 12 \times 6$
$⟹ 5 x = 72 - 2 = 70$
$∴ x = 14$ and less than $15 and 18.$

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