For a set of values, the sum of squared deviations is minimum when taken from: MCQ with Answer and Explanation

Question

Share Report Error

For a set of values, the sum of squared deviations is minimum when taken from:

A. Mode

B. Geometric mean

C. Arithmetic mean

D. Median

Answer: Option C

Solution (By JKSSB Mock Tests)

The arithmetic mean minimizes the sum of squared deviations.

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

The arithmetic mean of 5 numbers is 20. If one number is excluded, the mean of the remaining 4 numbers becomes 18. The excluded number is:

A. 30

B. 20

C. 28

D. 22

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
Sum of 5 numbers = 5 × 20 = 100. Sum of 4 numbers = 4 × 18 = 72. Excluded number = 100 - 72 = 28.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Share Report

The total of all frequencies in a frequency distribution is equal to the:

A. Width of the highest class

B. Highest cumulative frequency

C. Mean of the frequencies

D. Class mark of the last class

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
In a 'less than' cumulative frequency distribution, the final cumulative frequency equals the total number of observations (N).

This question belongs to: Accountancy and Statistics Statistics

Question #3

Share Report

In the context of data collection, what is the fundamental difference between a schedule and a questionnaire?

A. A schedule is filled by the enumerator, while a questionnaire is filled by the respondent.

B. There is no difference; they are synonymous.

C. A questionnaire is always sent by mail, whereas a schedule is emailed.

D. A schedule contains more questions than a questionnaire.

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Schedules require trained enumerators to ask questions and record answers, reducing non-response rates compared to questionnaires.

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs