Chapter 17 Measures of Central Tendency Ex 17.3

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

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