A dataset has a mean of 50, a median of 47, and a mode of 44. Which of the following best describes the skewness of this distribution?

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Question

A dataset has a mean of 50, a median of 47, and a mode of 44. Which of the following best describes the skewness of this distribution?

Accepted Answer

Positively skewed, because the mean is greater than the median — When mean > median > mode, the distribution is positively skewed (skewed to the right), as the tail extends toward higher values pulling the mean upward. Option A incorrectly labels the direction — negative skew occurs when mean < median < mode. Option C is wrong because a symmetric distribution requires mean = median = mode. Option D gives the correct direction but an incomplete and misleading justification, since the relationship between all three averages (mean > median > mode) is the standard criterion, not just mode vs mean.

Answer

Symmetrical, because the mean and median are close in value

Answer

Negatively skewed, because the mean is greater than the median

Answer

Positively skewed, because the mean is greater than the median

Answer

Positively skewed, because the mode is less than the mean

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