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Access RD Sharma Class 9 Solutions Chapter 24 Exercise 24.1
Question 1: If the heights of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cm respectively. Find the mean height.
Solution:
The heights of 5 persons are 140 cm , 150 cm , 152 cm , 158 cm and 161 cm (Given)
Mean height = (Sum of heights) / (Total number of persons)
Sum of heights = 140 + 150 + 152 + 158 + 161 = 761
Total number of persons = 5
So, Mean height = 761/5 =152.2
Question 2: Find the mean of 994 , 996 , 998 , 1002 , 1000.
Solution:
Sum of numbers = 994+996+998+1000+100 = 4990
Total counts = 5
Therefore, Mean = (Sum of numbers)/(Total Counts)
= 4990/5
= 998
Mean = 998
Question 3: Find the mean of first five natural numbers.
Solution:
First five natural numbers are 1 , 2 , 3 , 4 , 5.
Sum of all the numbers = 1+2+3+4+5 = 15
Total Numbers = 5
Therefore, Mean = (Sum of numbers)/(Total Numbers)
= 15/5
= 3
Mean = 3
Question 4: Find the mean of all factors of 10.
Solution:
Factors of 10 are 1, 2, 5, 10.
Sum of all the factors = 1+2+5+10 = 18
Total Numbers = 4
Therefore, Mean = (Sum of factors)/(Total Numbers)
= 18/4
= 4.5
Mean = 4.5
Question 5: Find the mean of first 10 even natural numbers.
Solution:
First 10 even natural numbers = 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20
Sum of numbers = 2+4+6+8+10+12+14+16+18+20 = 110
Total Numbers = 10
Now,
Mean = (Sum of numbers) / (Total Numbers)
= 110/10
Mean = 11
Question 6: Find the mean of x , x + 2 , x + 4 , x + 6 , x + 8.
Solution:
Given numbers are x , x + 2 , x + 4 , x + 6 , x + 8.
Sum of numbers = x+(x+2) + (x+4) + (x+6) + (x+8) = 5x+20
Total Numbers = 5
Now,
Mean = (Sum of numbers) / (Total Numbers)
= (5x+20)/5
= 5(x + 4)/5
= x + 4
Mean = x + 4
Question 7: Find the mean of first five multiples of 3.
Solution:
First five multiples of 3 are 3 , 6 , 9 , 12 , 15.
Sum of numbers = 3+6+9+12+15 = 45
Total Numbers = 5
Now,
Mean = (Sum of numbers) / (Total Numbers)
= 45/5
=9
Mean = 9
Question 8: Following are the weights (in kg) of 10 new born babies in a hospital on a particular day: 3.4 , 3 .6 , 4.2 , 4.5 , 3.9 , 4.1 , 3.8 , 4.5 , 4.4 , 3.6. Find the mean.
Solution:
The weights of 10 new born babies (in kg): 3.4 , 3 .6 , 4.2 , 4.5 , 3.9 , 4.1 , 3.8 , 4.5 , 4.4 , 3.6
Sum of weights = 3.4+3.6+4.2+4.5+3.9+4.1+3.8+4.5+4.4+3.6 = 40
Total number of babies = 10
No, Mean = (Sum of weights) / (Total number of babies)
= 40/10
= 4
Mean weight = 4 kg
Question 9: The percentage marks obtained by students of a class in mathematics are :
64 , 36 , 47 , 23 , 0 , 19 , 81 , 93 , 72 , 35 , 3 , 1. Find their mean.
Solution:
The percentage marks obtained by students: 64 , 36 , 47 , 23 , 0 , 19 , 81 , 93 , 72 , 35 , 3 , 1
Sum of marks = 64+36+47+23+0+19+81+93+72+35+3+1 = 474
Total students = 12
Now, Mean marks = (Sum of marks ) / (Total students )
=474/12
= 39.5
Mean Marks = 39.5
Question 10: The numbers of children in 10 families of a locality are:
2 , 4 , 3 , 4 , 2 , 3 , 5 , 1 , 1 , 5. Find the number of children per family.
Solution:
The numbers of children in 10 families: 2 , 4 , 3 , 4 , 2 , 3 , 5 , 1 , 1 , 5
Total number of children = 2+4+3+4+2+3+5+1+1+5 = 30
Total Families = 10
Number of children per family = Mean = (Total number of children) / (Total Families) = 30/10
= 3
Therefore, Number of children per family is 3.
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