Find the missing frequency p in-the following frequency distribution-whose mean -is 28-25 - x amp-15 amp-20 amp-25 amp-30 amp-35 amp-40- f amp-8 amp-7 amp-p amp-14 amp-15 amp-6- -12-15-10-2-

The correct option is C 10 [ x_i amp;f_i amp;x_i × f_i; 15 amp;8 amp;120; 20 amp;7 amp;140; ...

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Byju's Answer

Standard VII

Mathematics

Mean for Frequency Distribution Table

Find the miss...

Question

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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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
$\begin{matrix} x & 15 & 20 & 25 & 30 & 35 & 40 f & 8 & 7 & p & 14 & 15 & 6 \end{matrix}$