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RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

June 18, 2019 by Fazal Leave a Comment

   

Rajasthan Board RBSE Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from mean for the data given in Q1 and Q2.

Question 1.
4, 7, 8, 9, 10, 12, 13,17
Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 2.
28, 60, 38,30, 32, 45, 53, 36,44, 34
Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from median for the data given in Q. 3 and Q.4.

Question 3.
13,10, 12,13, 15, 18, 17, 11,14,16, 12
Solution:
Arranging is ascending order, value of varaible will be
10, 11, 12, 12, 13, 13, 14, 15, 16, 17, 18
Here n = 11
? Median (M) = Mean of values of 5th and 6th term
M = \(\frac { 13+13 }{ 2 } \) = \(\frac { 26 }{ 2 } \) = 13

xi | xi – m|
13 0
10 3
12 1
13 0
15 2
18 5
17 4
11 2
14 1
16 3
12 1
N = 11 ∑ | xi – m | = 22

Mean deviation from median
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 4.
26, 32, 35, 39, 41, 62, 36, 50, 43.
Solution:
Arranging in ascending order, value of variable will be
26, 32, 35, 36, 39, 41, 43, 50, 62
Here number of total terms
N = 9
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2
Table for calcuation of Mean deviation
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from mode for the data given in Q. 5. and Q. 6.

Question 5.
2, 4, 6, 4, 8, 6, 4, 10, 4, 8
Solution:
Maximum time (4 times) in given data, 4 ocurs
Now, Mode (z) = 4

xi |xi – z |
2 2
4 0
6 2
4 0
8 4
6 2
4 0
10 6
4 0
8 4

N = 10

∑ | xi – z | = 20

Thus, Mean deviation from mode,
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 6.
2.2, 2.5, 2.1, 2.5, 2.9, 2.8, 2.5, 2.3
Solution:
In given data 2-5 occurs maximum times (3 times)
Thus Mode (z) = 2.5

xi 2.2 2.5 2.1 2.5 2.9 2.8 2.5 2.3

N = 8

| xi – z | 0.3 0 0.4 0 0.4 0.3 0 0.2 ∑ |xi – z| = 1-6

Thus Mean deviation (δz) about mode

RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2
Find the mean deviation from mean for the data given in Q. 7 to Q. 8.

Question 7.

xi 5 10 15 20 25
fi 7 4 6 3 5

Solution:
Calculation table for mean deviation about mean
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 8.

xi 20 40 60 80 100
fi 2 12 14 8 4

Solution:
Calculation table for mean deviation from mean.
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from median for the data given in Q. 9. and Q. 10.

Question 9.

xi 5 7 9 10 12 15
fi 8 6 2 2 2 6

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 10.

xi 10 16 22 25 30
fi 3 5 6 7 8

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from mode for data given in Q. 11 to Q. 12.

Question 11.

xi 3 4 5 6 7 8
fi 2 4 6 3 2 1

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 12.

xi 10 20 30 40 50 60 70 80
fi 2 8 16 26 20 16 7 5

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from mean for data given in Q. 13. and Q. 14.

Question 13.

Income(daily) Number
0-10 4
10-20 8
20-30 9
30-40 10
40-50 7
50-60 5
60-70 4
70-80 3

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 14.

Height (cm)

95-105 105-115 115-125 125-135 135-145 145-155
Number 9 13 26 30 12 10

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from median for data given in Q. 15. and Q. 16.

Question 15.

Marks Number
10-20 3
20-30 4
30-40 7
40-50 8
50-60 2
60-70 1

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 16.

Age Number
16-20 5
21-25 6
26-30 12
31-35 14
36-40 26
41-45 12
46-50 16
51-55 9

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Find the mean deviation from mode for data given in Q. 17 and Q. 18.

Question 17.

Class 20-30 30-40 40-50 50-60 60-70
Number 8 24 42 20 6

Solution:

RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

Question 18.

Height (Inches)

52-55 55-58 58-61 61-64
No. of Students 10 20 35 10

Solution:
RBSE Solutions for Class 11 Maths Chapter 13 Measures of Dispersion Ex 13.2

RBSE Solutions for Class 11 Maths

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