For a dataset with extreme outliers, which measure of central tendency is LEAST affected? MCQ with Answer and Explanation

For a dataset with extreme outliers, which measure of central tendency is LEAST affected?
A. Median
B. Mode
C. Arithmetic mean
D. Geometric mean
Answer: Option A
Solution (By JKExamLibrary)
The median depends only on the middle value(s) in an ordered list, making it robust to extreme values, whereas the mean incorporates all values and can be heavily distorted by outliers.

This question belongs to: Accountancy and Statistics Statistics

Discuss this Question (0)

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

Practice More Statistics Questions

Question #1 Report Error
Assertion (A): The arithmetic mean is not a robust measure of central tendency. Reason (R): It is highly influenced by outliers. Choose the correct option:
A. Both A and R are true, and R is the correct explanation of A
B. Both A and R are true, but R is not the correct explanation of A
C. A is true, R is false
D. A is false, R is true

Correct Answer: Option A


Explanation:
The mean is sensitive to extreme values, making it non-robust. R explains why.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
The factor reversal test requires that:
A. Price index × Quantity index = Value index
B. P₀₁ × P₁₂ = P₀₂
C. Index numbers are unitless
D. P₀₁ × P₁₀ = 1

Correct Answer: Option A


Explanation:
Factor reversal test checks if the product of a price index and its corresponding quantity index equals the value index (Σp₁q₁/Σp₀q₀), ensuring consistency between price and quantity measurements.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Wholesale Price Index (WPI) is primarily used by policymakers to monitor:
A. Asset price bubbles
B. Producer and wholesale market inflation
C. Consumer inflation
D. Wage growth

Correct Answer: Option B


Explanation:
WPI reflects price changes at the wholesale/producer level, serving as an early indicator of inflationary pressures in the production pipeline before they reach consumers via CPI.

This question belongs to: Accountancy and Statistics Statistics