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

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

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|
130
103
121
130
152
185
174
112
141
163
121
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 |
22
40
62
40
84
62
40
106
40
84

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

xi2.22.52.12.52.92.82.52.3

N = 8

| xi – z |0.300.400.40.300.2∑ |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.

xi510152025
fi74635

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

Question 8.

xi20406080100
fi2121484

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.

xi579101215
fi862226

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

Question 10.

xi1016222530
fi35678

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.

xi345678
fi246321

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

Question 12.

xi1020304050607080
fi281626201675

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
0-104
10-208
20-309
30-4010
40-507
50-605
60-704
70-803

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

Question 14.

Height (cm)

95-105105-115115-125125-135135-145145-155
Number91326301210

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.

MarksNumber
10-203
20-304
30-407
40-508
50-602
60-701

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.

AgeNumber
16-205
21-256
26-3012
31-3514
36-4026
41-4512
46-5016
51-559

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.

Class20-3030-4040-5050-6060-70
Number82442206

Solution:

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

Question 18.

Height (Inches)

52-5555-5858-6161-64
No. of Students10203510

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

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