QuestionJuly 15, 2025

In one study on rideshare distances, the median rideshare distance was 175 miles. A histogram of the data set was skewed to the left.Which of the following values for the mean rideshare distance is most plausible? 21.2 miles 23.5 miles 5.7 miles The most plausible value for the mean is square because when the data set is skewed to the left, the mean is square

In one study on rideshare distances, the median rideshare distance was 175 miles. A histogram of the data set was skewed to the left.Which of the following values for the mean rideshare distance is most plausible? 21.2 miles 23.5 miles 5.7 miles The most plausible value for the mean is square because when the data set is skewed to the left, the mean is square
In one study on rideshare distances, the median rideshare distance was 175 miles. A histogram of the data set was skewed to the left.Which of the following
values for the mean rideshare distance is most plausible?
21.2 miles
23.5 miles
5.7 miles
The most plausible value for the mean is square  because when the data set is skewed to the left, the mean is
square

Solution
4.0(292 votes)

Answer

23.5 miles Explanation 1. Understand skewness effect on mean In a left-skewed distribution, the mean is typically less than the median because the tail pulls the mean towards lower values. 2. Compare given values with median The median is 175 miles. Plausible mean values should be less than this due to left skewness. 3. Evaluate options 21.2 miles and 23.5 miles are plausible as they are less than the median. 5.7 miles is implausibly low compared to the median. 4. Choose most plausible mean Among 21.2 miles and 23.5 miles, 23.5 miles is closer to the median, making it more plausible.

Explanation

1. Understand skewness effect on mean<br /> In a left-skewed distribution, the mean is typically less than the median because the tail pulls the mean towards lower values.<br /><br />2. Compare given values with median<br /> The median is 175 miles. Plausible mean values should be less than this due to left skewness.<br /><br />3. Evaluate options<br /> 21.2 miles and 23.5 miles are plausible as they are less than the median. 5.7 miles is implausibly low compared to the median.<br /><br />4. Choose most plausible mean<br /> Among 21.2 miles and 23.5 miles, 23.5 miles is closer to the median, making it more plausible.
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