A survey was conducted among 400 students of age groups 7−12 years and 13−18 years to find their favorite music genre. The students had to select any one genre out of jazz, rock, and pop. Out of the 200 students in the age group 7−12 years who participated in the survey, 142 liked rock or pop music. The total number of students of both age groups who liked jazz was 72. Using a two-way table, compute the total number of students in the age group 13−18 years who liked rock or pop music.
Answers
Answer:
A survey was conducted among 400 students of age groups 7–12 years and 13–18 years to find their favorite music genre.
Out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music.
The total number students of age group 7-12 = 200
So, Remaining 200 are from age group 13-18.
In the age group 7–12 years who participated in the survey, 142 liked rock or pop music.
Number of students of age group 7–12 years who liked jazz = 200-142
Number of students of age group 7–12 years who liked jazz = 58
Now we are given The total number of students of both age groups who liked jazz was 72.
Number of students of age group 13-18 who liked jazz = 72-58 =14
Out of 200 , 14 students liked jazz
No.of students in the age group 13–18 years who liked rock or pop music = 200-14 =186
Hence the total number of students in the age group 13–18 years who liked rock or pop music is 186
jazz rock or pop
7-12 58 142 328
13-18 14 186 72
200 200 200