The sum of absolute deviations is minimum when taken from: MCQ with Answer and Explanation

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The sum of absolute deviations is minimum when taken from:

A. Geometric mean

B. Median

C. Arithmetic mean

D. Mode

Answer: Option B

Solution (By JKSSB Mock Tests)

The median minimizes the sum of absolute deviations, Σ|x - M|.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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In a frequency distribution with classes 0-9, 10-19, 20-29,... the class boundaries for 20-29 are:

A. 20.5 - 29.5

B. 20 - 29

C. 19.5 - 28.5

D. 19.5 - 29.5

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Correct Answer: Option D

Explanation:
Given inclusive intervals with gap of 1, subtract 0.5 from lower and add 0.5 to upper.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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A frequency distribution with classes 10-20, 20-30, 30-40 … is called:

A. Cumulative series

B. Open-end series

C. Inclusive series

D. Exclusive series

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Correct Answer: Option D

Explanation:
The upper limit of a class is the lower limit of the next; an observation equal to the upper limit goes to the next class.

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Question #3

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A researcher uses the published census data to study urbanization trends. In this context, the census data is:

A. Qualitative Data

B. Secondary Data

C. Experimental Data

D. Primary Data

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Correct Answer: Option B

Explanation:
Since the data was originally collected by the government and the researcher is reusing it, it acts as secondary data.

This question belongs to: Accountancy and Statistics Statistics

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