For a set of positive observations, when is the arithmetic mean equal to the geometric mean?
Correct answer: B. When all observations are equal
- A. When all observations are distinct
- B. When all observations are equal
- C. When the median is zero
- D. When the range is maximum
Explanation
The arithmetic mean equals the geometric mean when every positive observation has the same value. Equality does not require the observations to be distinct or the range to be large.
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About Measures of Central Tendency and Dispersion
Central tendency includes mean, weighted mean, median and mode for raw and grouped data. Dispersion covers range, quartiles, interquartile range, variance, standard deviation and coefficient of variation, including the effect of changes in scale and the distinction between a representative centre and the spread around it.
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30 free Measures of Central Tendency and Dispersion MCQs from Quantitative Methods, each with the correct answer and an explanation. Unlimited attempts, no account needed.
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