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EXERCISE – 28

Q. 1. Find the mean of the following distribution :

Class Interval 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80
Frequency 10 6 8 12 5 9

Q. 2. The marks obtained by a set of students in an examination are given below :

Marks 5 10 15 20 25 30
No. of students 6 4 6 12 x 4

Given that the mean mark of the set is 18, calculate the numerical value of x. 

Q. 3. Given below are the weekly wages of 200 workers in a small factory :

Wages (in Rs.) 80 – 100 100 – 120 120 – 140   140 – 160 160 – 180
No. of workers 20 30 20 40 90

Calculate the mean weekly wages of the workers.

Q. 4. Find the value of p for which the Arithmetic Mean of the following distribution is 25 :

Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
Frequency 5 18 15  p 6

Q. 5. Find the mean of the following frequency distribution :

Class 25 – 29 30 – 34 35 – 39 40 – 44 45 – 49 50 – 54 55 – 59
Frequency 14 22 16  6 5 3 4

Q. 6. The following table gives the distribution of expenditure of different families on education. Find the mean expenditure on education of a family.

Expenditure (in Rs.) Number of families
1000 – 1500 24
1500 – 2000 40
2000 – 2500 33
2500 – 3000 28
3000 – 3500 30
3500 – 4000 22
4000 – 4500 16
4500 – 5000 7

Q. 7. The mean of the following frequency distribution is 57.6 and the sum of the observation is 50. Find the missing frequency f1 and f2.

Class 0 – 20 20 – 40  40 – 60 60 – 80 80 – 100  100 – 120
Frequency 7 f1 12  f2 8 5

 

Answers
1. 49.6 2.  x = 8
3. Rs. 145 4. p = 16.
5. 36.36 (approx.). 6. Rs. 2662.50.
7. f1 = 8; f2 = 10  

 

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Maths by Mr. M. P. Keshari

 

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  Chapter - 27   Chapter - 28   Chapter - 29

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