$\sum$ fx = 7x + 2, $\sum$ f = 12. If the mean of the distribution is 6, what is the value of x?

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Solution

The correct option is C
10

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

Hence, $\frac{7 x + 2}{12}$ = 6

$\Rightarrow$ 7x + 2 = 12 $\times$ 6

$\Rightarrow$ 7x = 72 – 2 = 70

$\Rightarrow$ x = 10

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