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NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2

NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2.

  • Statistics Class 11 Ex 15.1
  • Statistics Class 11 Ex 15.3
Board CBSE
Textbook NCERT
Class Class 11
Subject Maths
Chapter Chapter 15
Chapter Name Statistics
Exercise Ex 15.2
Number of Questions Solved 10
Category NCERT Solutions

NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2

Find the mean and variance for each of the data in Exercises 1 to 5.

Ex 15.2 Class 11 Maths Question 1.
6, 7, 10, 12, 13, 4, 8, 12
Solution:
Here xi = 6, 7, 10, 12, 13, 4, 8, 12
∴ Σxi = 6 + 7 + 10 + 12 + 13 + 4 + 8 + 12 = 72
n = 8
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 1
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 2

Ex 15.2 Class 11 Maths Question 2.
First n natural numbers
Solution:
Here xi = 1, 2, 3, 4, ……….n
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 3

Ex 15.2 Class 11 Maths Question 3.
First 10 multiples of 3
Solution:
Here xi = 3, 6, 9, 12, 15, 18, 21, 27, 30,
Σxi = 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 = 165
n = 10
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 4

Ex 15.2 Class 11 Maths Question 4.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 5
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 6

Ex 15.2 Class 11 Maths Question 5.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 7
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 8

Ex 15.2 Class 11 Maths Question 6.
Find the mean and standard deviation using short-cut method
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 9
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 10
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 11

Find the mean and variance for the following frequency distributions in Exercises 7 and 8.

Ex 15.2 Class 11 Maths Question 7.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 12
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 13

Ex 15.2 Class 11 Maths Question 8.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 14
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 15
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 16

Ex 15.2 Class 11 Maths Question 9.
Find the mean, variance and standard deviation using short-cut method.
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 17
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 18
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 19

Ex 15.2 Class 11 Maths Question 10.
The diameters of circles (in mm) drawn in a design are given below:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 20
Calculate the standard deviation and mean diameter of the circles.
[Hint: First make the data continuous by making the classes as 32.5 – 36.5, 36.5 – 40.5, 40.5 – 44.5, 44.5 – 48.5, 48.5 – 52.5 and then proceed.]
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 21

We hope the NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 help you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2, drop a comment below and we will get back to you at the earliest.

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