∑fx = 5x + 2, ∑f = 12. If the mean of the distribution is 6, wha

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$\sum$ fx = 5x + 2, $\sum$ f = 12. If the mean of the distribution is 6, what is the value of x?

Options:

A . 12

B . 14

C . 15

D . 18

Answer: Option B
:
B

We know Mean = $\frac{\sum f x}{\sum f}$

Hence, $\frac{5 x + 2}{12}$ = 6

$\Rightarrow$ 5x + 2 = 12 $\times$ 6
$\Rightarrow$ 5x = 72 – 2 = 70
$\Rightarrow$ x = 14

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