R S Aggarwal Solutions for Class 11 Maths Chapter 30 Statistics Exercise 30B

Class 11 Chapter 30 – Statistics exercise 30B solutions are provided here. All solutions have been prepared by our experts and they have provided accurate answers to all the exercise questions. This exercise introduces students to a lot of questions related to variance and standard deviation of a discrete frequency distribution.

Variance and standard deviation Formulas:

Variance and standard deviation

Download PDF of R S Aggarwal Solutions for Class 11 Maths Chapter 30 Statistics Exercise 30B

 

rs aggarwal solution class 11 maths chapter 30 ex b
rs aggarwal solution class 11 maths chapter 30 ex b
rs aggarwal solution class 11 maths chapter 30 ex b
rs aggarwal solution class 11 maths chapter 30 ex b
rs aggarwal solution class 11 maths chapter 30 ex b
rs aggarwal solution class 11 maths chapter 30 ex b
rs aggarwal solution class 11 maths chapter 30 ex b
rs aggarwal solution class 11 maths chapter 30 ex b

 

Access Answers to Maths R S Aggarwal Class 11 Chapter 30 Statistics Exercise 30B Page number 935

Question 1: Find the mean, variance and standard deviation for the numbers 4, 6, 10, 12, 7, 8, 13, 12.


Solution:

Given data: 4, 6, 10, 12, 7, 8, 13, 12

Sum of observations = 4 + 6 + 10 + 12 + 7 + 8 + 13 + 12 = 72

Total number of observation = 8

Find Mean:

Mean = (Sum of observations) / (Total number of observation)

= 72/8 = 9

Mean = 9

Find Variance:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 1

Find Standard Deviation:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Q1 Solution

Question 2: Find the mean, variance and standard deviation for first six odd natural numbers.


Solution:

Given data: First six odd natural numbers = 1, 3, 5, 7, 9, 11

Sum of observations = 1 + 3 + 5 + 7 + 9 + 11 = 36

Total number of observation = 6

Find Mean:

Mean = (Sum of observations) / (Total number of observation)

= 36/6 = 6

Mean = 6

Find Variance:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 2

Find Standard Deviation:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Q2 Solution

Question 3: Using short cut method, find the mean, variance and standard deviation for the data :

xi

4

8

11

17

20

24

32

fi

3

5

9

5

4

3

1

Solution:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 3

Mean:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 3 mean

Variance:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 3 variance

Standard deviation

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 3 SD

Question 4: Using short cut method, find the mean, variance and standard deviation for the data :

xi

6

10

14

18

24

28

30

fi

2

4

7

12

8

4

3

Solution:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 4

Mean:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 4 Mean

Variance:

 R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 4 variance

Standard deviation:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 4 SD

Question 5: Using short cut method, find the mean, variance and standard deviation for the data :

xi

10

15

18

20

25

fi

3

2

5

8

2

Solution:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 5

Mean:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 5 mean

Variance:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 5 variance

Standard deviation:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 5 SD

Question 6: Using short cut method, find the mean, variance and standard deviation for the data :

xi

92

93

97

98

102

104

109

fi

3

2

3

2

6

3

3

Solution:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 6

Mean:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 6 mean

Variance:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 6 variance

Standard deviation:

R S Aggarwal Solution Class 11 chapter 30 Ex 30B Solution 6 SD


Access other exercise solutions of Class 11 Maths Chapter 30 Statistics

Exercise 30A Solutions

Exercise 30C Solutions

Exercise 30D Solutions

R S Aggarwal Solutions for Class 11 Maths Chapter 30 Exercise 30B

Class 11 Maths Chapter 30 Statistics Exercise 30B is based on the following topics:

  • Variance
  • Standard deviation
  • Variance and standard deviation of a discrete frequency distribution

Students are advised to download R S Aggarwal Maths Class 11 pdf and practice on various concepts and get ready for your exams.

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