Commerce Exam  >  Commerce Test  >  Mathematics (Maths) Class 11  >  Test: Statistics Measures of Dispersion- Case Based Type Questions - Commerce MCQ

Statistics Measures of Dispersion- Case Based Type Questions - Free


MCQ Practice Test & Solutions: Test: Statistics Measures of Dispersion- Case Based Type Questions (10 Questions)

You can prepare effectively for Commerce Mathematics (Maths) Class 11 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Statistics Measures of Dispersion- Case Based Type Questions". These 10 questions have been designed by the experts with the latest curriculum of Commerce 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 1

A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.

The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:

Q. What is the coefficient of variation of marks obtained by the students in Mathematics?

Detailed Solution: Question 1

Standard deviation of Mathematics = 12

The coefficient of variation,

C.V. (in Mathematics) = 12/42 x 100 = 28.57

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 2

A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.

The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:

Q. What is the coefficient of variation of marks obtained by the students in Chemistry?

Detailed Solution: Question 2

Standard deviation of Chemistry = 20

C.V. (in Chemistry) = 20/40.9 x 100 = 48.89

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 3

A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.

The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:

Q. What is the coefficient of variation of marks obtained by the students in Physics?

Detailed Solution: Question 3

Standard deviation of Physics = 15

The coefficient of variation,

C.V. (in Physics) = 15/32 × 100 = 46.87

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 4

A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.

The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:

Q. Which of the three subjects shows the highest variability?

Detailed Solution: Question 4

The subject with greater C.V. is more variable than others. Therefore, the highest variability in marks is in Chemistry.

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 5

A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.

The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:

Q. Which of the three subjects shows the lowest variability ?

Detailed Solution: Question 5

The subject with lesser C.V. is low variable than others. Therefore, the lowest variability in marks is in Mathematics.

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 6

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

Q. Amount paid by firm A is:

Detailed Solution: Question 6

No. of wage earners = 586

Mean of monthly wages, x = ₹5253

Amount paid by firm A = ₹(586 × 5253)

= ₹3078258

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 7

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

Q. Standard deviation of the distribution of wages for firm B

Detailed Solution: Question 7

Standard deviation,

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 8

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

Q. Coefficient of variation of the distribution of wages for firm A

Detailed Solution: Question 8

Variance of distribution of wages,

σ2 = 100

Standard deviation, σ = √σ2

= √100

= 10

coefficient of Variation

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 9

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

Q. Amount paid by firm B is

Detailed Solution: Question 9

No. of wage earners = 648

Mean of monthly wages, x = ₹5253

Amount paid by firm B = 648 × 5253

= ₹3403944

Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 10

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

Q. Which firm A or B shows greater variability in individual wages?

Detailed Solution: Question 10

Coefficient of variation of wages, of firm A = 0.19

coefficient of variation of wages, of firm

∴ Firm B shows greater variability in individual wages.

61 videos|221 docs|54 tests
Information about Test: Statistics Measures of Dispersion- Case Based Type Questions Page
In this test you can find the Exam questions for Test: Statistics Measures of Dispersion- Case Based Type Questions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Statistics Measures of Dispersion- Case Based Type Questions, EduRev gives you an ample number of Online tests for practice
61 videos|221 docs|54 tests
Download as PDF