Question

1. a survey of 100 students was taken. it was found that 60 students watched sports, and 34 of these students did not like pop music. of the students who did not watch sports, 70% liked pop music. complete the two - way frequency table.

Explanation:

Step1: Calculate the number of students who don't watch sports

Total students = 100. Students who watch sports = 60. So, students who don't watch sports = \(100 - 60=40\)

Step2: Calculate the number of students who like pop and don't watch sports

Of the 40 students who don't watch sports, 70% like pop music. So, \(40\times0.7 = 28\)

Step3: Calculate the number of students who don't like pop and don't watch sports

\(40-28 = 12\)

Step4: Calculate the number of students who like pop and watch sports

Students who watch sports = 60. Students who don't like pop and watch sports = 34. So, students who like pop and watch sports = \(60 - 34=26\)

Step5: Calculate the total number of students who like pop

\(26 + 28=54\)

Step6: Calculate the total number of students who don't like pop

\(34+12 = 46\)

Answer:

	Watch Sports	Don't Watch Sports	Total
Don't Like Pop	34	12	46
Total	60	40	100