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RD Chapter 32- Statistics Ex-32.7 Interview Questions Answers

Question 1 :

Two plants A and Bof a factory show the following results about the number of workers and thewages paid to them

Plant A

Plant B

No. of workers

5000

6000

Average monthly wages

₹2500

₹2500

The variance of distribution of wages

81

100

In which plant A orB is there greater variability in individual wages?

Answer 1 :

Variation of the distribution of wages in plant A (σ2 =18)

So, Standard deviation of the distribution A (σ – 9)

Similarly, the Variation of the distribution of wages in plant B (σ=100)

So, Standard deviation of the distribution B (σ – 10)

And, Average monthly wages in both the plants is 2500,

Since, the plant with a greater value of SD will have morevariability in salary.

PlantB has more variability in individual wages than plant A

Question 2 :

The means andstandard deviations of heights and weights of 50 students in a class are asfollows:

Weights

Heights

Mean

63.2 kg

63.2 inch

Standard deviation

5.6 kg

11.5 inch

Which shows morevariability, heights or weights?

Answer 2 :


Question 3 :

The coefficient ofvariation of two distribution are 60% and 70%, and their standard deviationsare 21 and 16 respectively. What is their arithmetic means?

Answer 3 :


= 22.86

Meansare 35 and 22.86

Question 4 :

Calculatecoefficient of variation from the following data:

Income (in ₹):

1000-1700

1700-2400

2400-3100

3100-3800

3800-4500

4500-5200

No. of families:

12

18

20

25

35

10

Answer 4 :


Question 5 :

An analysis of theweekly wages paid to workers in two firms A and B, belonging to the sameindustry gives the following results:

Firm A

Firm B

No. of wage earners

586

648

Average weekly wages

₹52.5

₹47.5

The variance of the distribution of wages

100

121


(i) Which firm A or B pays out the larger amount asweekly wages?
(ii) Which firm A or B has greater variability inindividual wages?

Answer 5 :


Question 6 :

The following aresome particulars of the distribution of weights of boys and girls in a class:

Boys

Girls

Number

100

50

Mean weight

60 kg

45 kg

Variance

9

4


Which of the distributions is more variable?

Answer 6 :



Selected

 

RD Chapter 32- Statistics Ex-32.7 Contributors

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