$\sum f_{i} x_{i}$ = 10 $x$ + 40, $\sum f_{i}$ = 12. If the mean of the distribution is 60, what is the value of $x$ ?

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Solution

The correct option is B
68

We have given,
$\sum f_{i} x_{i}$ = 10 $x$ + 40
and $\sum f_{i}$ = 12

We know that,
Mean = $\frac{\sum f_{i} x_{i}}{\sum f_{i}}$
60 = $\frac{10 x + 40}{12}$
$\Rightarrow$ 12 $\times$ 60 = 10 $x$ + 40
$\Rightarrow$ 720 – 40 = 10 $x$
$\Rightarrow$ 10 $x$ = 680
$\Rightarrow$ $x$ = 68

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