Find the missing value of p for the following distribution whose mean is 12-58- x- amp-5 amp-8 amp-10 amp-12 amp-p amp-20 amp-25- f- amp-2 amp-5 amp-8 amp-22 amp-7 amp-4 amp-214-15-12-16-

The correct option is B 15 Mean=12.58 [ x_i amp;f_i amp;x_i × f_i; 5 amp;2 amp;10; 8 amp;5 ...

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Byju's Answer

Standard VII

Mathematics

Mean for Frequency Distribution Table

Find the miss...

Question

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

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

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Solution

The correct option is D
15

Mean=12.58

$\begin{matrix} x_{i} & f_{i} & x_{i} \times f_{i} 5 & 2 & 10 8 & 5 & 40 10 & 8 & 80 12 & 22 & 264 p & 7 & 7 p 20 & 4 & 80 25 & 2 & 50 T o t a l & 50 & 524 + 7 p \end{matrix}$

$∴ M e a n (¯ x) = \frac{\sum f_{i} x_{i}}{\sum f_{i}} \Rightarrow 12.58 = \frac{524 + 7 p}{50} \Rightarrow 629 = 524 + 7 p \Rightarrow 7 p = 629 - 524 = 105 \Rightarrow p = \frac{105}{7} = 15 ∴ p = 15$

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

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Q. Find the missing value of P for the following distribution whose mean is

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$x_{i}$	5	8	10	12	P	20	25
$f_{i}$	2	5	8	22	7	4	2

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

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for the following distribution whose mean is

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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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Find the missing value of p for the following distribution whose mean is 12.58. x:581012p2025f:25822742

The correct option is D 15 Mean=12.58 xifixi×fi52108540108801222264p77p2048025250Total50524+7p ∴ Mean (¯x)=∑fixi∑fi⇒12.58=524+7p50⇒629=524+7p⇒7p=629−524=105⇒p=1057=15∴ p=15

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

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