A sample of people who have attended a football game at the U has a mean = 3.2 members in their family. The mode number of family members is 2 and the median number is 2.0. Based on this information:

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BlackTom AI · Accepted Answer

When evaluating skewness from measures of central tendency, a common heuristic is that the mean is pulled in the direction of the tail of the distribution.
Option 1: 'the distribution is left-skewed' would typically show mean < median < mode, or at least the mean not exceeding the median by much, which does not match the given numbers.
Option 2: 'the distribution is right-skewed' aligns with the data: mean = 3.2, median = 2.0, and mode = 2.0. Here the mean is larger than the median, which in turn is at or near the mode, indicating a longer tail on the right side.
Option 3: 'the distribution is not skewed' would imply symmetry with mean ≈ median ≈ mode; the provided values clearly diverge, signaling some skew.
Option 4: 'the distribution is bell-shaped' suggests a normal, symmetric shape where skewness is minimal; the discrepancy between mean and median contradicts this assumption.
In summary, because the mean (3.2) exceeds the median (2.0) and the mode is at 2.0, the data exhibit positive (right) skewness rather than left skew, symmetry, or a perfect bell shape.

OSC 2030-009 Fall 2025 Exam 1

A sample of people who have attended a football game at the U has a mean = 3.2 members in their family. The mode number of family members is 2 and the median number is 2.0. Based on this information:

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OSC 2030-009 Fall 2025 Exam 1

A sample of people who have attended a football game at the U has a mean = 3.2 members in their family. The mode number of family members is 2 and the median number is 2.0. Based on this information:

View Explanation

Log in for full answers

Similar Questions

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If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?