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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

∑ f x =5 x +2...

Question

$\sum f_{x}$ = 5x + 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 B
14

$\sum f_{x} = \sum f \times$ mean
$5 x + 2 = 12 \times 6$
$5 x = 72 - 2 = 70$
$x = 14$

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