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Commerce Exam  >  Commerce Tests  >  Test: Statistics Measures of Dispersion- Case Based Type Questions - Commerce MCQ

Test: Statistics Measures of Dispersion- Case Based Type Questions - Commerce MCQ


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

Test: Statistics Measures of Dispersion- Case Based Type Questions for Commerce 2024 is part of Commerce preparation. The Test: Statistics Measures of Dispersion- Case Based Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Statistics Measures of Dispersion- Case Based Type Questions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Statistics Measures of Dispersion- Case Based Type Questions below.
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Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 1
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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 for Test: Statistics Measures of Dispersion- Case Based Type Questions - 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
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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 for Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 2
Standard deviation of Chemistry = 20

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

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Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 3
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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 for Test: Statistics Measures of Dispersion- Case Based Type Questions - 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
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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 for Test: Statistics Measures of Dispersion- Case Based Type Questions - 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
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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 for Test: Statistics Measures of Dispersion- Case Based Type Questions - 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
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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 for Test: Statistics Measures of Dispersion- Case Based Type Questions - 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
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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 for Test: Statistics Measures of Dispersion- Case Based Type Questions - Question 7
Standard deviation,

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

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