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Sarkari MCQs Government Exam Question Bank
Question no. 93503

The difference between the A.M. and mode is equal to ______________?

Select your answer for: The difference between the A.M. and mode is equal to ______________?
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Answer: B. Skewness

Explanation

Pearson's skewness coefficient relates the difference between mean and mode to standard deviation. In moderately skewed distributions, the difference between arithmetic mean and mode is positive or negative. This directional difference directly reflects the presence and direction of distribution skewness. Skewness measures the lack of symmetry in a probability distribution or dataset. For symmetrical distributions, the mean, median, and mode are identical, making their difference zero. Empirical relationships connect the mean-mode difference to standard deviation units.

Data analysts check the mean-mode difference to quickly gauge distribution asymmetry. Financial data often exhibits positive skewness, where the mean exceeds the mode. Recognizing skewness prevents errors when applying symmetric statistical test models. Option B names the broader concept rather than identifying the mathematical sign of the difference. Option C describes one specific direction of skewness rather than the general relationship. Option D applies only to perfectly symmetrical distributions, not skewed datasets.

Subject
Mathematics
Category
Statistics
Topic
—
Difficulty
medium

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