Assertion (A): For a moderately skewed distribution, mean – mode ≈ 3(mean – median). Reason (R): In any skewed distribution, the median always lies between the mean and mode. Choose the correct option: MCQ with Answer and Explanation

Assertion (A): For a moderately skewed distribution, mean – mode ≈ 3(mean – median). Reason (R): In any skewed distribution, the median always lies between the mean and mode. Choose the correct option:
A. Both A and R are true, but R is not the correct explanation of A
B. Both A and R are true, and R is the correct explanation of A
C. A is true, R is false
D. A is false, R is true
Answer: Option A
Solution (By JKSSB Mock Tests)
The empirical relationship (A) is true for moderate skewness. In skewed distributions, median lies between mean and mode, but this fact does not directly explain the formula; it's an observed pattern.

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Practice More Statistics Questions

Question #1
The ‘footnote’ of a statistical table is used to:
A. Provide additional explanation or clarification about specific items
B. List the units of measurement
C. State the source of data
D. Give the title of the table

Correct Answer: Option A


Explanation:
Footnotes clarify specific cells or data points; the source is typically given separately, and the title is at the top.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Which of the following is not a measure of dispersion?
A. Standard deviation
B. Mode
C. Variance
D. Range

Correct Answer: Option B


Explanation:
Mode is a measure of central tendency.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Which of the following index numbers satisfies the Circular Test?
A. Kelly's Fixed Weight Index
B. Laspeyres' Index
C. Fisher's Ideal Index
D. Paasche's Index

Correct Answer: Option A


Explanation:
Fisher's index fails the Circular Test. Only indexes with constant weights, like Kelly's or simple geometric mean of price relatives, pass it.

This question belongs to: Accountancy and Statistics Statistics