Question

a math tutor working with a small study group has classified students in the group by whether or not they scored 95% or above on each of three tests. the results are shown in the venn diagram to the right. use the venn diagram to represent the set of students who scored 95% or above on exactly one test
choose the set of students who scored 95% or above on exactly one exam.
a. {cam, eva, lon, mel, ken, pat, flo, ny, oli}
b. {cam, eva, gus, mel, ken, pat, ben, don, lon, flo, ny, oli}
c. {cam, eva, lon, gus, don, bon}
d. {cam, eva, gus, mel, ken, pat, ben, don, lon, flo, ny, oli, roz, jen, hui, al}

Explanation:

Step1: Analyze each option

• Option A: Contains students who may have scored on more than one exam (e.g., if a student is in multiple circles in the Venn - diagram, they scored on multiple exams).
• Option B: Check for students in only one circle of the Venn - diagram. Cam is only in Exam 1, Eva is only in Exam 1, Gus is only in Exam 1, Mel is only in Exam 2, Ken is only in Exam 2, Pat is only in Exam 2, Ben is only in Exam 2 (if we assume the Venn - diagram's non - overlapping parts for single - exam scorers), Don is only in the intersection of two exams (but wait, no, if we consider the non - triple - overlap and non - double - overlap regions for single - exam scorers. Wait, no, in a Venn - diagram of three sets (three exams), the region that represents exactly one - exam scorers are the non - overlapping parts of each circle.
• Option C: Contains students who may be in regions that are not single - exam scorers (e.g., Don is in an intersection of two exams in the Venn - diagram interpretation for exam scores).
• Option D: Contains students who are in regions that are not single - exam scorers (e.g., Lon is in an intersection of two exams in the Venn - diagram interpretation for exam scores).

Answer:

B. {Cam, Eva, Gus, Mel, Ken, Pat, Ben, Lon, Flo, Ny, Oli}