An article in the New Times San Luis Obispo (February 4, 2016) reported the accompanying concussion rates for different high school sports. The given data are concussion rates per 10,000 athletes participating in high school sports in 2012.

                                          Concussion Rate

                                         (Concussions per

Sport                               10,000 athletes)

Football .......................................  11.2

Lacrosse (Boys) ..........................   6.9

Lacrosse (Girls) ..........................   5.2

Wrestling ...................................    6.2

Basketball (Girls) ......................    5.6

Basketball (Boys) ......................   2.8

Soccer (Girls) ............................    6.7

Soccer (Boys) ............................   4.2

Field Hockey ............................    4.2

Volleyball .................................    2.4

Softball ....................................    1.6

Baseball ..................................    1.2

a. Construct a dotplot of the concussion rate data.

b. In addition to the three girls’ sports indicated in the table (lacrosse, basketball, and soccer), the reported concussion rates for field hockey, volleyball, and softball are also for girls. Locate the points on the dotplot that correspond to concussion rates for girls’ sports and highlight them in a different color. Based on the dotplot, would you say that the concussion rates for girls’ sports tend to be lower than or higher than for boys’ sports? Explain.