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A salary survey reports a mean of $58,000, a median of $46,000, and a mode of $40,000. Which shape best describes this distribution?
ASkewed to the left
BSkewed to the right
CPerfectly symmetrical
DUniform, with no peak
Answer & Solution
Correct answer: B. Skewed to the right
1. Compare the three centers: mode $40,000 < median $46,000 < mean $58,000.
2. When the mode is less than the median and the median less than the mean, the long tail stretches toward high values.
3. A long right tail is the signature of a distribution skewed to the right, with the mean pulled up by high salaries.
4. So the salary distribution is skewed to the right.
5. Option C would require the mean and the median to be equal, which they are not here.
_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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