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Question
a football coach compared the yards per game of two of his running backs over the course of 10 games. based on the data represented in the box plots, which football player had greater success during the 10 games? nasir was more successful because he had the greatest number of yards in one game. aaron was more successful because he had the greater total spread. nasir was more successful because he had the greater measure of center. aaron was more successful because he had an outlier.
- The measure of center (median) in a box - plot is a better indicator of overall success than a single - game high (outlier or maximum value).
- Spread (inter - quartile range or range) does not directly measure success. An outlier in Aaron's data (if it exists) is just an extreme value in one game and not a measure of overall success.
- By looking at the box - plots, Nasir's box - plot (assuming the median line within the box is at a higher value on the number line) has a greater measure of center (median).
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Nasir was more successful because he had the greater measure of center.