Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The following distribution shows the daily pocket allowance of

Question

The following distribution shows the daily pocket allowance of children of a locality, The mean pocket allowance is Rs.18. Find the missing frequency f.
Daily pocket Allowance (in Rs.)
Number of children
11-13
7
13-15
6
15-17
9
17-19
13
19-21
f
21-23
5
23-25
4

f = 10

f = 20

f = 15

f = 19

Views: 843 students

Found 4 tutors discussing this question

Samuel Discussed

The following distribution shows the daily pocket allowance of children of a locality, The mean pocket allowance is Rs.18. Find the missing frequency f.

Daily pocket Allowance (in Rs.)	Number of children
11-13	7
13-15	6
15-17	9
17-19	13
19-21	f
21-23	5
23-25	4

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Answer:-

x_{i} = \frac{lower limit + upper limit}{2}

Daily pocket allowance (in Rs.)	$x_{i}$	$f_{i}$	$x_{i} f_{i}$
11-13	12	7	84
13-15	14	6	84
15-17	16	9	144
17-19	18	13	234
19-21	20	f	20f
21-23	22	5	110
23-25	24	4	96
		$Σ f_{i} = 44 + f$	$Σ x_{i} f_{i} = 752 + 20 f$

∴ M e an = \frac{Σ x _{i} f _{i}}{Σ f _{i}} = \frac{752 + 20 f}{44 + f}

Given:- Mean

= 18

\Rightarrow \frac{752 + 20 f}{44 + f} = 18

\Rightarrow

752 + 20 f = 792 + 18 f

\Rightarrow

2 f = 40

\Rightarrow

f = 20

Was this solution helpful?

151

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	The following distribution shows the daily pocket allowance of children of a locality, The mean pocket allowance is Rs.18. Find the missing frequency f.
Answer Type	Text solution:1
Upvotes	151

The following distribution shows the daily pocket allowance of children of a locality, The mean pocket allowance is Rs.18. Find the missing frequency f.Daily pocket Allowance (in Rs.)Number of children11-13713-15615-17917-191319-21f21-23523-254

Text solutionVerified

Practice questions from similar books

The following distribution shows the daily pocket allowance of children of a locality, The mean pocket allowance is Rs.18. Find the missing frequency f.
Daily pocket Allowance (in Rs.)
Number of children
11-13
7
13-15
6
15-17
9
17-19
13
19-21
f
21-23
5
23-25
4