Question

The following box plot represents the height of the players in two teams.



Which team is more likely to have a basketball player with a height of 116.5 cm?

• A. Both teams
• B. Team B
• C. Team A
• D. Neither team A nor team B

Answer 1

The correct option is B Team B

Team A
Median height: $110cm$
Lower quartile: $104cm$
Upper quartile: $116cm$
Interquartile range: $116-104=12cm$

Team B
Median height: $108cm$
Lower quartile: $104cm$
Upper quartile: $117cm$

Interquartile range: $117-104=13cm$

Since the interquartile range is the measure of where the bulk of the data lie in the data set, there are more chances of finding a player in team $B$ with a height of $116.5$ cm than in team $A$.

Therefore, option B is the correct answer.