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

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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,

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

Open in App

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

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

$1161 + 27 p = 1245 + 15 p$

$12 p = 84 \Rightarrow p = 7$

Suggest Corrections

Similar questions

Q. If the mean of the following distribution is 27, find the value of p.

Class	0−10	10−20	20−30	30−40	40−50
Frequency	8	p	12	13	10

Find the mode of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 8 & 10 & 14 & 10 & 8 \end{matrix}$

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 8 & 10 & 14 & 10 & 8 \end{matrix}$

Q. The arithmetic mean of the following frequency distribution is 50.

Class	0-10	10-20	20-30	30-40	40-50
Frequency	16	p	30	32	14

Find the value of p.

Q. Find the mean of the following distribution, using the step deviation method:

Class	0-10	10-20	20-30	30-40	40-50
Frequency	7	12	13	10	8

Or, the mean of the following distribution is 78. Find the value of P.

Class	50-60	60-70	70-80	80-90	90-100
Frequency	8	6	12	11	p

Join BYJU'S Learning Program

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,

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