Subtopic: Mean, median, mode and standard deviation
Question Statement:
Poisson distribution having a mean of 5 will have √5 as
Options:
(A) median
(B) mode
(C) standard deviation
(D) variance
Official Answer Key:
C
Step-by-Step Solution & Explanation
For a Poisson distribution, mean = variance = λ. Here λ=5, so variance = 5, and standard deviation = √variance = √5. The median and mode of a Poisson(5) distribution are integers close to λ (≈4–5), not √5. Answer: (C) standard deviation.
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