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 x_i = 6, 7, 10, 12, 13, 4, 8, 12
∴ Σx_i = 6 + 7 + 10 + 12 + 13 + 4 + 8 + 12 = 72
n = 8

Ex 15.2 Class 11 Maths Question 2.
First n natural numbers
Solution:
Here x_i = 1, 2, 3, 4, ……….n

Ex 15.2 Class 11 Maths Question 3.
First 10 multiples of 3
Solution:
Here x_i = 3, 6, 9, 12, 15, 18, 21, 27, 30,
Σx_i = 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 = 165
n = 10

Ex 15.2 Class 11 Maths Question 4.

Solution:

Ex 15.2 Class 11 Maths Question 5.

Solution:

Ex 15.2 Class 11 Maths Question 6.
Find the mean and standard deviation using short-cut method

Solution:

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

Ex 15.2 Class 11 Maths Question 7.

Solution:

Ex 15.2 Class 11 Maths Question 8.

Solution:

Ex 15.2 Class 11 Maths Question 9.
Find the mean, variance and standard deviation using short-cut method.

Solution:

Ex 15.2 Class 11 Maths Question 10.
The diameters of circles (in mm) drawn in a design are given below:

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:

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