Choose the Venn diagram that depicts the correct relationship among Men, Women…
2022
Choose the Venn diagram that depicts the correct relationship among Men, Women and Musicians.
Attempted by 55 students.
Show answer & explanation
Key idea: Men and Women are separate (they do not overlap), while Musicians can be either Men or Women (so the Musicians set should overlap both Men and Women).
Step 1: Represent Men and Women as two circles that do not overlap, because the categories are mutually exclusive.
Step 2: Represent Musicians as a third circle that intersects both the Men circle and the Women circle, because some musicians are men and some are women.
Step 3: Ensure there is no direct overlap between the Men and Women circles. The musician circle should overlap each of them separately, producing two pairwise intersections but no Men–Women overlap.
Conclusion: Choose the diagram that shows the middle circle overlapping both the left and right circles while the left and right circles do not overlap. This correctly models Men and Women as disjoint groups and Musicians as a group that includes members from both.