In a symmetric distribution, the mean, median, and mode are: MCQ with Answer and Explanation

In a symmetric distribution, the mean, median, and mode are:
A. Unrelated
B. Always equal
C. Mean = Median, mode may differ
D. All three coincide for unimodal symmetric distributions
Answer: Option D
Solution (By JKExamLibrary)
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.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
Crude Death Rate is less useful for comparing mortality between countries because it is heavily influenced by:
A. Data collection methods
B. Birth rates
C. Migration patterns
D. Population age structure

Correct Answer: Option D


Explanation:
CDR uses total population, so countries with older populations (e.g., Japan) have higher CDRs even with better age-specific survival than younger populations (e.g., Nigeria), necessitating age-standardization.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
If a population has a high proportion of young people, the crude death rate may be low even if age-specific rates are high. This is an example of:
A. Reverse causality
B. Sampling error
C. Age structure effect
D. Direct standardization

Correct Answer: Option C


Explanation:
A young population has fewer old people where mortality is high, thus CDR can be low.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
The circular test is satisfied by:
A. Fisher index
B. Both A and C
C. Fixed weight aggregates
D. Chain index using fixed weight price relatives

Correct Answer: Option B


Explanation:
Fixed weight aggregates and chain indices with consistent linking can satisfy circular test, while Fisher does not.

This question belongs to: Accountancy and Statistics Statistics