Which measure of central tendency minimizes the sum of absolute deviations? MCQ with Answer and Explanation

Which measure of central tendency minimizes the sum of absolute deviations?
A. Mode
B. Median
C. Geometric mean
D. Arithmetic mean
Answer: Option B
Solution (By JKSSB Mock Tests)
Median minimizes Σ|x - M|, while mean minimizes Σ(x - μ)².

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Practice More Statistics Questions

Question #1
Which of the following errors is exclusively associated with the collection of secondary data?
A. Non-response error
B. Sampling bias
C. Inappropriateness to the objective of the current study
D. Measurement error

Correct Answer: Option C


Explanation:
Secondary data was originally collected for a different purpose, hence it might not strictly align with the current study's objectives.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Bayes' theorem is used to find:
A. Complementary probability
B. Posterior probability
C. Unconditional probability
D. Joint probability

Correct Answer: Option B


Explanation:
Bayes' theorem updates prior probabilities with new evidence to give posterior probabilities.

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Question #3
In attribute theory, consistency of data requires that all ultimate class frequencies are:
A. Greater than marginal frequencies
B. Multiples of 10
C. Equal
D. Positive integers or zero

Correct Answer: Option D


Explanation:
Consistency checks ensure no calculated frequency (e.g., from marginal totals) is negative, as counts cannot be negative; all must be non-negative integers for logical validity.

This question belongs to: Accountancy and Statistics Statistics