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Mean of Ungrouped Data

∑fx = 5x + 2,...

Question

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

A

12

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B

14

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C

15

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D

18

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Solution

The correct option is B
14

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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