Find the missing frequency p in the following frequency distribution whose mean is 28.25
$\begin{matrix} x & 15 & 20 & 25 & 30 & 35 & 40 f & 8 & 7 & p & 14 & 15 & 6 \end{matrix}$

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Solution

The correct option is A
10

$\begin{matrix} x_{i} & f_{i} & x_{i} \times f_{i} 15 & 8 & 120 20 & 7 & 140 25 & p & 25 p 30 & 14 & 420 35 & 15 & 525 40 & 6 & 240 T o t a l & 50 + p & 1445 + 25 p \end{matrix}$

Mean, $¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}} 28.25 = \frac{1445 + 25 p}{50 + p} 1445 + 25 p = 1412.5 + 28.25 p 3.25 p = 32.5 p = 10$

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p

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7.68

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$f$ :	$6$	$8$	$15$	$p$	$8$	$4$

Q. Find the missing frequency (p) for the following distribution whose mean is 7.68.

x:	3	5	7	9	11	13
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Find the missing frequency p in the following frequency distribution whose mean is 28.25 x152025303540f87p14156

The correct option is A 10 xifixi×fi15812020714025p25p30144203515525406240Total50+p1445+25p Mean, ¯x=∑fixi∑fi28.25=1445+25p50+p1445+25p=1412.5+28.25p3.25p=32.5p=10

Find the missing frequency p in the following frequency distribution whose mean is 28.25
$\begin{matrix} x & 15 & 20 & 25 & 30 & 35 & 40 f & 8 & 7 & p & 14 & 15 & 6 \end{matrix}$