If the mean of a distribution is 30 and the mode is 24, the distribution is: MCQ with Answer and Explanation

If the mean of a distribution is 30 and the mode is 24, the distribution is:
A. Symmetric
B. Negatively skewed
C. Platykurtic
D. Positively skewed
Answer: Option D
Solution (By JKExamLibrary)
Mean > Mode implies positive skewness.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
Which measure of central tendency is most suitable for qualitative ordinal data like intelligence rankings?
A. Geometric mean
B. Mode
C. Mean
D. Median

Correct Answer: Option D


Explanation:
Ordinal data can be ranked; the median is the appropriate measure as it does not require numerical differences.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Which property of the arithmetic mean states that the sum of deviations from the mean is always zero?
A. Linearity
B. Invariance under change of origin
C. Sum of deviations property
D. Minimum sum of squared deviations

Correct Answer: Option C


Explanation:
The sum of deviations of all observations from their arithmetic mean is always zero, i.e., Σ(x - x̄) = 0, which is a fundamental algebraic property of the mean.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Bayes' Theorem is primarily used to calculate:
A. Joint probabilities
B. Marginal probabilities
C. Prior probabilities
D. Posterior probabilities

Correct Answer: Option D


Explanation:
Bayes' theorem updates prior probabilities using new evidence to compute posterior probabilities.

This question belongs to: Accountancy and Statistics Statistics