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 at BYJU’S which are accurate as per the latest syllabus. This exercise introduces students to a lot of questions related to variance and standard deviation of a discrete frequency distribution.

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.

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

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