Here are two box plots comparing the wonByPoints for NFC wins and AFC wins. 4. a

Question

Here are two box plots comparing the wonByPoints for NFC wins and AFC wins. 4. a. Judging from the locations of the distributions in the graphic, on average do NFC or AFC teams win by more points? Give a good reason for the answer. - b. From the box plots you should be able to roughly estimate the IQRs for the points by which the winner won. Does a comparison of the IQRs for the NFC and AFC tell you that: i) The NFC on average wins by more points than the AFC. i) The NFC's wonByPoints vary more than the AFCs wonbyPoints. ii Neither conclusion can be reached, one NFC team won by 50 points! Choose the best answer and give a reason for the answer. True or false, and give a reason for your answer: "In slightly more than 75% of the games won by an AFC team, the wonByPoints value is less than in 50% of the wonByPoints for games won by the NFC." c.

Explanation / Answer

4.

a)

NFC won more points on average, as it has higher median, maximum, and third quartile. Hence, it has more higher entries.

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b)

OPTION II: The NFC's wonbypoints vary more than the AFC'S wonbypoints.

As you can see, the width of the box part for NFC is wider than the width of the box part of AFC. Hence, there is more variation in NFC.

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c)

TRUE, as Q3 of AFC is less than the median of NFC, as in the figure.

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