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NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1

NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1.

  • Statistics Class 11 Ex 15.2
  • Statistics Class 11 Ex 15.3
Board CBSE
Textbook NCERT
Class Class 11
Subject Maths
Chapter Chapter 15
Chapter Name Statistics
Exercise Ex 15.1
Number of Questions Solved 12
Category NCERT Solutions

NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1

Find the mean deviation about the mean for the data in Exercises 1 and 2.

Ex 15.1 Class 11 Maths Question 1.
4, 7, 8, 9, 10, 12, 13, 17
Solution:
Mean of the given data is
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 1

Ex 15.1 Class 11 Maths Question 2.
38, 70, 48, 40, 42, 55, 63, 46, 54, 44
Solution:
Mean of the given data is
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 2
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 3

Ex 15.1 Class 11 Maths Question 3.
13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17
Solution:
Arranging the data in ascending order, we have
10, 11, 11, 12, 13, 13, 14, 16, 16, 17, 17, 18
Here n = 12 (which is even)
So median is the average of 6th and 7th observations
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 4
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 5

Ex 15.1 Class 11 Maths Question 4.
36, 72, 46, 42, 60, 45, 53, 46, 51, 49
Solution:
Arranging the data in ascending order, we have 36, 42, 45, 46, 46, 49, 51, 53, 60, 72
Here n = 10 (which is even)
So median is the average of 5th and 6th observations
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 6

Find the mean deviation about the mean for the data in Exercises 5 and 6.

Ex 15.1 Class 11 Maths Question 5.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 7
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 8

Ex 15.1 Class 11 Maths Question 6.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 9
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 10

Find the mean deviation about the median for the data in Exercises 7 and 8.

Ex 15.1 Class 11 Maths Question 7.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 11
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 25

Ex 15.1 Class 11 Maths Question 8.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 13
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 14

Find the mean deviation about the mean for the data in Exercises 9 and 10.

Ex 15.1 Class 11 Maths Question 9.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 15
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 16

Ex 15.1 Class 11 Maths Question 10.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 17
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 18
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 19

Ex 15.1 Class 11 Maths Question 11.
Find the mean deviation about median for the following data:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 20
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 21

Ex 15.1 Class 11 Maths Question 12.
Calculate the mean deviation about median age for the age distribution of 100 persons given below:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 22
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 23
[Hint: Convert the given data into continuous frequency distribution by subtracting 0.5 from lower limit and adding 0.5 to the upper limit of each class interval]
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 24

 

We hope the NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1 help you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.1, drop a comment below and we will get back to you at the earliest.

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