# NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2

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12 Get Free NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.2 PDF in Hindi and English Medium. Statistics Class 11 Maths NCERT Solutions are extremely helpful while doing your homework. Statistics Ex 15.2 Class 11 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 15 Class 11 Statistics Ex 15.2 provided in NCERT Textbook.

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## NCERT Solutions for Class 11 Maths Chapter 15 Ex 15.2 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.

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  Question 2.
First n natural numbers
Solution:
Here xi = 1, 2, 3, 4, ……….n 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 Question 4. Solution: Question 5. Solution: 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.

Question 7. Solution: Question 8. Solution:  Question 9.
Find the mean, variance and standard deviation using short-cut method. Solution:  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: ### NCERT Solutions for Class 11 Maths Chapter 15 Statistics (सांख्यिकी) Hindi Medium Ex 15.2           