Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Ex 17.3

Find the mean (arithmetic) of following frequency distribution (Q. 1 – 4)
Question 1.
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q1.1
Solution :
Calculation of arithmetic mean
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q1.2
Arithmetic mean = \frac { { \Sigma f }_{ i }{ x }_{ i } }{ { \Sigma f }_{ i } } =\frac { 1580 }{ 60 }  = 26.33(approx)
Question 2.
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q2.1
Solution :
Calculation of arithmetic mean
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q2.2
Arithmetic mean = \frac { { \Sigma f }_{ i }{ x }_{ i } }{ { \Sigma f }_{ i } } =\frac { 618 }{ 40 }  = 15.45
Question 3.
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q3.1
Solution:
Calculation of arithmetic mean :
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q3.2
Arithmetic mean = \frac { { \Sigma f }_{ i }{ x }_{ i } }{ { \Sigma f }_{ i } } =\frac { 10200 }{ 70 }  = 145.71
Thus, required arithmetic mean = 145.71
Question 4.
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q4.1
Solution:
Calculation of arithmetic mean :
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q4.2
Arithmetic mean = \frac { { \Sigma f }_{ i }{ x }_{ i } }{ { \Sigma f }_{ i } } =\frac { 1980 }{ 40 }  = 49.5
Thus, required arithmetic mean = 49.5
Question 5.
Find mean of the following frequency distribution :
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q5.1
Solution:
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q5.2
Arithmetic mean = \frac { { \Sigma f }_{ i }{ x }_{ i } }{ { \Sigma f }_{ i } } =\frac { 6820 }{ 100 }  = 68.2
Thus, frequency distribution mean = 68.2


Question 6.
The salary of employees in a factory are according to following table :
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q6.1
Find the arithmetic mean of salary.
Solution :
Calculation of arithmetic mean :
Rajasthan Board RBSE Class 10 Maths Chapter 17 Measures of Central Tendency Q6.2
Arithmetic mean = \frac { { \Sigma f }_{ i }{ x }_{ i } }{ { \Sigma f }_{ i } } =\frac { 102000 }{ 70 }  = 1457.14
Thus, arithmetic mean of salary = ₹ 1457.14