Question

100%Normal textCalibri11+BIUcaIE:531123461.Here are box plots that summarize the heights of 20 professional male athletes in basketball,football, hockey, and baseball.basketballfootballhockeybaseball652075808590height in inchesa.In which two sports are the players' height distributions most alike? Explain your reasoning.

Answer 1

From the graph shown, it can be observed that the values of the minimum heights, to the quartile, to the median, to the interquartile, and the maximum heights are as stated below:

`\begin{gathered} \text{Basketball}-67,76,78,80,91 \\ \text{Football}-66,70,73,75,77 \\ \text{Hockey}-69,72,73,75,76 \\ \text{Baseball}-70,72,73,74,76 \end{gathered}`

From the observed heights, it can be clearly seen that Football, Hockey and Baseball have the same median of 73 heights

`\begin{gathered} \text{Range of Basketball= 91-67=24} \\ \text{Range of Football= 77-66=11} \\ \text{Range of Hockey=76-69=7} \\ \text{Range of Baseball=76-70=6} \end{gathered}`

From the values of the range, it can be observed that the range of Hockey and Baseball is almost the same, 6 and 7

Hence, the two sports that most alike are Hockey and Baseball