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RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

June 18, 2019 by Fazal Leave a Comment

Rajasthan Board RBSE Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Find mean and variance for the data of Q. 1. and Q.2

Question 1.

xi 6 10 14 18 24 28 30
fi 2 4 7 12 8 4 3

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Question 2.

xi 82 83 87 88 92 94 99
fi 3 2 3 2 6 3 3

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Question 3.
Find mean and standard deviation by shortcut method.

xi 70 71 72 73 74 75 76 77 78
fi 2 1 12 29 25 12 10 4 5

Solution:
Let Assumed mean A = 73
Calculation Table
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

In question 4 and 5, find mean and variable for frequency distribution.

Question 4.

Class 0-30 30-60 60-90 90-120 120-150 150-180 180-210
Frequency 2 3 5 10 3 5 2

Solution:
Calculation table
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Question 5.

Class 0-10 10-20 20-30 30-40 40-50
Frequency 5 8 15 16 6

Solution:
Calculation table
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Question 6.
Find mean, variable and standard deviation by short-cut method.
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
Solution:
Table to find mean, variance, standard deviation :
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Question 7.
Find the mean deviation of diameter of circles in given table.

Diameter (mm) 43-46 47-50 51-54 55-58 59-62
Number of circles 15 17 21 22 25

Solution:
Here groups not continuous. To make it continuous we will subtract 0-5 from lower limit of group and add 0-5 in upper limit.
Calculation table for mean deviation and mean diameter
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
Thus standard deviation of given circles = 5.55 mm

Question 8.
Calculate standard deviation, its coefficient and variable coefficient of given data.

Class 0-20 20-40 40-60 60-80 80-100
Frequency 2 5 15 7 1

Solution:
Calculate Table
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Question 9.
Find the mean deviation from imaginary mean 35 for following distribution.
35, 25, 33, 50, 37, 35, 33, 37, 30
Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

Question 10.
Find mean deviation from mean, median, and mode and coefficient of mean deviation from the following series –

Monthly Wages (in Rs.) Number of tenants
Less than 10 3
Less than 20 8
Less than 30 16
Less than 40 26
Less than 50 37
Less than 60 50
Less than 70 56
Less than 80 60

Solution:
Cumulative frequency – 1
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.3

RBSE Solutions for Class 11 Maths

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