If the meas of the following distribution is 27- find the value of P- beginarray-c-c-c-c-c-c-hline Class-0-10-10-20-20-30-30-40-40-50hline Frequency-8-P-12-13-10hline endarray

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Standard X

Mathematics

Direct Method of Finding Mean

If the meas o...

Question

If the meas of the following distribution is 27, find the value of P,

$\begin{matrix} C l a s s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 8 & P & 12 & 13 & 10 \end{matrix}$

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Solution

We can draw the following table:-

Class Interval Class Marks(x) Frequency(f) (x)(f)

0-10 5 8 40

10-20 15 p 15p

20-30 25 12 300

30-40 35 13 455

40-50 45 10 450

43+p 1245+15p

Since,

Mean = $¯ ¯ ¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}}$

$27 = \frac{1245 + 15 p}{43 + p}$

$1161 + 27 p = 1245 + 15 p$

$12 p = 84 \Rightarrow p = 7$

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Class Interval	Class Marks(x)	Frequency(f)	(x)(f)
0-10	5	8	40
10-20	15	p	15p
20-30	25	12	300
30-40	35	13	455
40-50	45	10	450
		43+p	1245+15p

If the meas of the following distribution is 27, find the value of P, Class0−1010−2020−3030−4040−50Frequency8P121310

We can draw the following table:- Class Interval Class Marks(x) Frequency(f) (x)(f) 0-10 5 8 40 10-20 15 p 15p 20-30 25 12 300 30-40 35 13 455 40-50 45 10 450 43+p 1245+15p Since, Mean = ¯¯¯x=∑fixi∑fi 27=1245+15p43+p 1161+27p=1245+15p 12p=84⇒p=7

If the meas of the following distribution is 27, find the value of P,

$\begin{matrix} C l a s s & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 8 & P & 12 & 13 & 10 \end{matrix}$