A data set has a mean of 50 and a standard deviation of 5. If 3 is added to each value, the new coefficient of variation is: MCQ with Answer and Explanation

Question

A data set has a mean of 50 and a standard deviation of 5. If 3 is added to each value, the new coefficient of variation is:

A. 12%

B. 10%

C. Unchanged

D. 9.43%

Answer: Option D

Solution (By JKSSB Mock Tests)

New mean = 53, SD unchanged=5. CV = (5/53)×100 ≈ 9.43%.

This question belongs to: Accountancy and Statistics Statistics

Request complete Subject PDF

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1

Share Report

For a moderately skewed distribution, the difference between mean and mode is approximately:

A. 2 (Mean - Median)

B. 3 (Median - Mean)

C. 3 (Mean - Median)

D. 2 (Median - Mean)

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
From empirical relation: Mean - Mode ≈ 3(Mean - Median).

This question belongs to: Accountancy and Statistics Statistics

Question #2

Share Report

Which of the following measures of central tendency is based on all observations and is most affected by extreme values?

A. Harmonic mean

B. Mode

C. Arithmetic mean

D. Median

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
Arithmetic mean uses every value and is pulled towards outliers.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Share Report

A box contains 4 white and 2 black balls. Two balls are drawn successively with replacement. Probability both are white is:

A. 2/3

B. 5/9

C. 4/9

D. 1/9

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
With replacement: P(WW) = (4/6)×(4/6) = 16/36 = 4/9.

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs