Find the missing value of P for the following distribution whose mean is $12.58$
$x_{i}$ 5 8 10 12 P 20 25
$f_{i}$
2 5 8 22 7 4 2

12

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15

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14

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16

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Solution

The correct option is C $15$
Given $x = 12.58$
Calculation of Mean
$x_{i}$ $f_{i}$ $f_{i} x_{i}$
$5$ $2$ $10$
$8$ $5$ $40$
$10$ $8$ $80$
$12$ $22$ $264$
$P$ $7$ $7 P$
$20$ $4$ $80$
$25$ $2$ $50$
$\sum f_{i} = 50$ $\sum f_{i} x_{i} = 524 + 7 p$
$¯ ¯ ¯ x \frac{\sum f_{i} x_{i}}{\sum f_{i}} \Rightarrow 12.58 = \frac{524 + 7 P}{50}$
$629 = 524 + 7 P 7 P = 105 P = 15$

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Similar questions

x:	5	8	10	12	p	20	25
f:	2	5	8	22	7	4	2

Find the missing value of p for the following distribution whose mean is 12.58.

$\begin{matrix} x : & 5 & 8 & 10 & 12 & p & 20 & 25 f : & 2 & 5 & 8 & 22 & 7 & 4 & 2 \end{matrix}$

Find the missing value of $p$ for the following distribution whose mean is 12.58.

$\begin{matrix} x : & 5 & 8 & 10 & 12 & p & 20 & 25 f : & 2 & 5 & 8 & 22 & 7 & 4 & 2 \end{matrix}$

15

p

Variable $(x_{i})$	$10$	$12$	$14$	$16$	$18$
Frequency $(f_{i})$	$13$	$p$	$15$	$32$	$28$

p

12.58

$x$ :	$5$	$8$	$10$	$12$	$p$	$20$	$25$
$f$ :	$2$	$5$	$8$	$22$	$7$	$4$	$2$

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