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: MCQ with Answer and Explanation
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, but R is not the correct explanation of A
B. A is false, R is true
C. Both A and R are true, and R is the correct explanation of A
D. A is true, R is false
Answer: Option C
Solution (By JKSSB Mock Tests)
The mean is sensitive to extreme values, making it non-robust. R explains why.
Explanation:
For a unimodal symmetric distribution (e.g., normal), the mean, median, and mode all lie at the center of symmetry; multimodal symmetric distributions may have multiple modes.
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