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.
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
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.
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.
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