A small college asked some students about the quality of the

A small college asked some students about the quality of the dorms on campus. Students identified what class they were in and rated the quality of the dorms as high, medium, or low quality. The results are in the table below.

                          high             medium         low

freshman              65                 25               20

sophomore          55                 30                45

junior                  60                  40               70

senior                 30                  60               70

What percentage of those giving a rating of low were freshmen?

9.8%

18.2%

19.3%

36.0%

Solution

See here the total number of respondents (regardless of their class) is 20+45+70+70=205. Among the class \"fresmen\" 20 students rated the quality of the dorms \"low\". So the required percentage is

(20/205)*100 which is approximately 9.8%