RD Sharma Class 11 Solutions Chapter 32 Statistics Exercise 32.3 (Updated for 2021-22)

RD Sharma Solutions Class 11 Maths Chapter 32 Exercise 32.3

RD Sharma Solutions Class 11 Maths Chapter 32 Exercise 32.3: The mean deviation of a grouped or continuous frequency distribution is the focus of this exercise. Experts at Kopykitab have solved the exercise-by-exercise problems using shortcut approaches to help students do well on their board exams. These RD Sharma Class 11 Maths Solutions assist students in resolving any questions they may have concerning the concepts covered in this topic. Students can download the RD Sharma Solutions Class 11 Maths Chapter 32 Exercise 32.3 in pdf format based on their needs and begin practising on their own schedule.

Download RD Sharma Class 11 Solutions Chapter 32 Statistics Exercise 32.3 Free PDF

RD Sharma Solutions Class 11 Maths Chapter 32 Exercise 32.3

 


Access answers to RD Sharma Solutions Class 11 Maths Chapter 32 Exercise 32.3- Important Question with Answers

1. Compute the mean deviation from the median of the following distribution:

Class

0-10

10-20

20-30

30-40

40-50

Frequency

5

10

20

5

10

Solution:

To find the mean deviation from the median, firstly let us calculate the median.

Median is the middle term of the Xi,

Here, the middle term is 25

So, Median = 25

Class Interval

xi

fi

Cumulative Frequency

|di| = |xi – M|

fi |di|

0-10

5

5

5

20

100

10-20

15

10

15

10

100

20-30

25

20

35

0

0

30-40

35

5

91

10

50

40-50

45

10

101

20

200

Total = 50

Total = 450

\(MD = \frac{1}{n}\sum_{i=1}^{n}|d_{i}|\)

= 1/50 × 450

= 9

∴ The mean deviation is 9

2. Find the mean deviation from the mean for the following data:

i

Classes

0-100

100-200

200-300

300-400

400-500

500-600

600-700

700-800

Frequencies

4

8

9

10

7

5

4

3

Solution:

To find the mean deviation from the mean, firstly let us calculate the mean.

By using the formula,

2a

= 17900/50

= 358

Class Interval

xi

fi

Cumulative Frequency

|di| = |xi – M|

fi |di|

0-100

50

4

200

308

1232

100-200

150

8

1200

208

1664

200-300

250

9

2250

108

972

300-400

350

10

3500

8

80

400-500

450

7

3150

92

644

500-600

550

5

2750

192

960

600-700

650

4

2600

292

1168

700-800

750

3

2250

392

1176

Total = 50

Total = 17900

Total = 7896

N = 50

\(MD = \frac{1}{n}\sum_{i=1}^{n}|d_{i}|\)

= 1/50 × 7896

= 157.92

∴ The mean deviation is 157.92

ii

Classes

95-105

105-115

115-125

125-135

135-145

145-155

Frequencies

9

13

16

26

30

12

Solution:

To find the mean deviation from the mean, firstly let us calculate the mean.

By using the formula,

2a

= 13630/106

= 128.58

Class Interval

xi

fi

Cumulative Frequency

|di| = |xi – M|

fi |di|

95-105

100

9

900

28.58

257.22

105-115

110

13

1430

18.58

241.54

115-125

120

16

1920

8.58

137.28

125-135

130

26

3380

1.42

36.92

135-145

140

30

4200

11.42

342.6

145-155

150

12

1800

21.42

257.04

N = 106

Total = 13630

Total = 1272.6

N = 106

\(MD = \frac{1}{n}\sum_{i=1}^{n}|d_{i}|\)

= 1/106 × 1272.6

= 12.005

∴ The mean deviation is 12.005

Statistics Ex 32.3 Q2(iii)
RD-Sharma-class-11 Solutions-Chapter-32-Statistics-Ex-32.3-Q-2 ii
Statistics Ex 32.3 Q3
RD-Sharma-class-11 Solutions-Chapter-32-Statistics-Ex-32.3-Q-3
Statistics Ex 32.3 Q4
RD-Sharma-class-11 Solutions-Chapter-32-Statistics-Ex-32.3-Q-4
Statistics Ex 32.3 Q5
RD-Sharma-class-11 Solutions-Chapter-32-Statistics-Ex-32.3-Q-5
RD-Sharma-class-11 Solutions-Chapter-32-Statistics-Ex-32.3-Q-5i
Statistics Ex 32.3 Q6
6
Statistics Ex 32.3 Q7
RD-Sharma-class-11 Solutions-Chapter-32-Statistics-Ex-32.3-Q-7
Statistics Ex 32.3 Q8
RD-Sharma-class-11 Solutions-Chapter-32-Statistics-Ex-32.3-Q-8

We have provided complete details of RD Sharma Solutions Class 11 Maths Chapter 32 Exercise 32.3. If you have any queries related to CBSE Class 11, feel free to ask us in the comment section below.

FAQs on RD Sharma Solutions Class 11 Maths Chapter 32 Exercise 32.3

How many questions are there in RD Sharma Class 11 Solutions Chapter 32 Statistics Exercise 32.3?

There are a total of 6 questions in RD Sharma Class 11 Solutions Chapter 32 Exercise 32.3.

Is RD Sharma Class 11 Solutions Chapter 32 Exercise 32.3 for free?

Yes, You can get RD Sharma Class 11 Solutions Chapter 32 Exercise 32.3 for free.

Where can I download RD Sharma Class 11 Solutions Chapter 32 Exercise 32.3 free PDF?

You can download RD Sharma Class 11 Solutions Chapter 32 Exercise 32.3 free PDF from the above article.

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