the ages of students in an art club are the following: 10, 10, 10, 11, 11, 11, 12, 12, 12, a, b, c. If 11 is the only mode and a = 10, find b and c

Question

b =
c =

Answer 1

since 11 is the only mode, it must occur the most times.
If a=10, then there are four 10s, so b and c must both be 11.