Which of the following statements is likely to be true?
A)The median personal income of California taxpayers would probably be near the mean.
B)The interquartile range offers a measure of income inequality among California residents.
C)For income, the sum of squared deviations about the mean is negative about half the time.
D)For personal incomes in California, outliers in either tail would be equally likely.

Question

Quizplus · Accepted Answer

The interquartile range is a measure of the spread of data that is resistant to outliers, making it a good measure for income inequality. The median and mean income may not necessarily be near each other, as income distribution is often skewed. The sum of squared deviations about the mean cannot be negative, as it is always a non-negative quantity. Outliers in personal incomes in California are not equally likely in either tail.

Which of the Following Statements Is Likely to Be True