NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3

# NCERT Solutions for Class 11 Maths Chapter 15 Statistics Ex 15.3

## 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 the part of NCERT Solutions for Class 11 Maths. Here you can find the 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?

 Marks Group A Group B 10 – 20 9 10 20 – 30 17 20 30 – 40 32 30 40 – 50 33 25 50 – 60 40 43 60 – 70 10 15 70 – 80 9 7

Solution:
For Group A:

### 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:

 X Y 35 108 54 107 52 105 53 105 56 106 58 107 52 104 50 103 51 104 49 101

Solution:

### 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:

 Firm A Firm B Number of wage earners 586 648 Mean of monthly wages Rs 5253 Rs 5253 Variance of the distribution of wages 100 121

(i) Which firm A or B pays larger amount as monthly wages?
(ii) Which firm, A or B, shows greater variability in individual wages?

Solution:
(i) Firm A:
Number of wage earners (n1) = 586
Mean of monthly wages (x1) = Rs 5253
Total monthly wages = 5253 × 586
= Rs 3078258
Firm B:
Number of wage earners (n2) = 648
Mean of monthly wages (x2) = Rs 5253
Total monthly wages = 5253 × 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:

 No. of goals scored 0 1 2 3 4 No. of matches 1 9 7 5 3

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:

### 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:
Which is more varying, the length or weight?

Solution: