Question

the dot plots show the number of points scored by two basketball teams in eight games. which statement best describes the overlap of the data sets? the lions and the hawks scored about the same number of points in all of their games. the hawks scored more points than the lions in all of their games. the hawks scored more than 50 points in all of their games. the lions scored more than 50 points in only a few of their games. the hawks scored 54 or more points in all of their games. the lions scored 54 or more points in only a few of their games.

Explanation:

Step1: Analyze the first option

The dot - plots show different distributions. So, the statement "The Lions and the Hawks scored about the same number of points in all of their games" is incorrect.

Step2: Analyze the second option

Looking at the dot - plots, there are games where the Lions scored more points (e.g., some lower - end values for Hawks and higher - end values for Lions in the overlapping region). So, "The Hawks scored more points than the Lions in all of their games" is wrong.

Step3: Analyze the third option

Looking at the Lions' dot - plot, all of their data points are above 50. So, the statement "The Lions scored more than 50 points in only a few of their games" is incorrect.

Step4: Analyze the fourth option

For the Hawks, all of their data points are at 54 or above. For the Lions, only a few data points (the ones on the right - hand side of the dot - plot) are at 54 or above.

Answer:

The Hawks scored 54 or more points in all of their games. The Lions scored 54 or more points in only a few of their games.