Describe situations in which a variable's variability is best measured by the range, interquartile range, and standard deviation, providing at least two concrete examples of each.
What will be an ideal response?
Range--the true upper limit in a distribution minus the true lower limit; since the range can be drastically altered by just one exceptionally high or low value (termed the outlier), it does not do an adequate job of summarizing the extent of variability in a distribution; a version of the range statistic, the interquartile range, avoids the problem created by outliers; standard deviation is simply the square root of the average squared deviation of each case from the mean.
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a. Roberts— b. Marshall c. Burger d. Taft
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