A sample of 245 high school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country. 51% of the sample is grades 9–10. From the sample, it is determined that 16.3% were students in grades 9–10 who prefer a rap band and 22.4% were students in grades 9-10 who prefer a country band. 14.3% were of students in grades 11–12 who prefer a country band, while 10.2% were students in grades 11–12 who prefer a rock band. The most popular choice was rap, with 40.8% of students making it their preferred option.
Which of the following is a correct two-way relative frequency table for the data?
School Dance Band Preference
Rap Rock Country Row totals
Grades 9–10 16.3 12.2 22.4 51
Grades 11–12 24.5 10.2 14.3 49
Column totals 40.8 22.4 36.7 100
School Dance Band Preference
Rap Rock Country Row totals
Grades 9–10 16.3% 12.3% 22.4% 51%
Grades 11–12 24.5% 10.2% 14.3% 49%
Column totals 40.8% 22.5% 36.7% 100%
School Dance Band Preference
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 60 25 35 120
Column totals 100 55 90 245
School Dance Band Preference
Rap Rock Country Row totals
Grades 9–10 0.163 0.122 0.224 125
Grades 11–12 0.245 0.102 0.143 120
Column totals 100 55 90 245