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NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3

NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3.

  • Statistics Class 11 Ex 15.1
  • Statistics Class 11 Ex 15.2
Board CBSE
Textbook NCERT
Class Class 11
Subject Maths
Chapter Chapter 15
Chapter Name Statistics
Exercise Ex 15.3
Number of Questions Solved 5
Category NCERT Solutions

NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3

Ex 15.3 Class 11 Maths Question 1.
From the data given below state which group is more variable, A or B?
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 1
Solution:
For Group A :
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 2
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 3
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 4

Ex 15.3 Class 11 Maths Question 2.
From the prices of shares X and Y below, find out which is more stable in value:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 5
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 6
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 7

Ex 15.3 Class 11 Maths Question 3.
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 8
(i) Which firm A or B pays larger amount as monthly wages?
(ii) Which firm, AorB, shows greater variability in individual wages?
Solution:
(i) Firm A :
Number of wage earners (n1) = 586
Mean of monthly wages (\(\overline { { x }_{ 1 } } \)) = Rs.5253
∴ Total monthly wages = 5253 x 586
= Rs. 3078258
Firm B :
Number of wage earners (n2) = 648
Mean of monthly wages (\(\overline { { x }_{ 2 } } \)) = Rs.5253
∴ Total monthly wages = 5253 x 648
= Rs. 3403944
Hence, Firm B pays larger amount as monthly wages.

(ii) Since both the firms have same mean of monthly wages, so the firm with greater variance will have more variability in individual wages. Thus firm B will have more variability in individual wages.

Ex 15.3 Class 11 Maths Question 4.
The following is the record of goals scored by team A in a football session:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 9
For the team B, mean number of goals scored per match was 2 with a standard deviation 1.25 goals. Find which team may be considered more consistent?
Solution:
For team A:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 10

Ex 15.3 Class 11 Maths Question 5.
The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 11
Which is more varying, the length or weight?
Solution:
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 12
NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 13

We hope the NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3 help you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3, drop a comment below and we will get back to you at the earliest.

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