24.20 Field goal shooting. Here are data on field goal shooting for two members of the Benedict College 2014–2015 men’s basketball team:

Seth FitzgeraldRoberto Mantovani
MadeMissedMadeMissed
Two-pointers546250
Three-pointers3314

  1. (a) What percentage of all field goal attempts did Seth Fitzgerald make? What percentage of all field goal attempts did Roberto Mantovani make?

  2. (b) Now find the percentage of all two-point field goals and all three-point field goals that Seth made. Do the same for Roberto.

  3. (c) Roberto had a lower percentage for both types of field goals but had a better overall percentage. That sounds impossible. Explain carefully, referring to the data, how this can happen.