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A distribution skewed to the left has mean 6.3, median 6.5 and mode 7. What ordering does that illustrate?
AThe mode is below the median and the mean
BThe mean, median and mode all coincide
CThe median is above the mode and the mean
DThe mean is below the median and the mode
Answer & Solution
Correct answer: D. The mean is below the median and the mode
1. A left skew means the long tail runs toward the smaller values.
2. That tail drags the mean down further than it drags the median.
3. So the mean of 6.3 is below the median of 6.5, and both are below the mode of 7.
4. Placing the mode lowest describes a right skew, which is the mirror image of this case.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.6 Skewness and the Mean, Median, and Mode_
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