Question

25 a survey was taken to determine whether students preferred to watch videos or listen to music. of the 100 students surveyed, 44 were seniors. of the 65 students who preferred to watch videos, 42 were juniors. use this information to complete the frequency table below.

1. find the students mistake by comparing your work and this students work

Explanation:

Step1: Calculate the number of seniors who watch videos

The total number of students who watch videos is 65. The number of juniors who watch videos is 42. So the number of seniors who watch videos should be \(65 - 42=23\) (correct).

Step2: Calculate the number of juniors who listen to music

The total number of juniors is 56. The number of juniors who watch videos is 42. So the number of juniors who listen to music should be \(56 - 42 = 14\) (the student wrote 19 which is wrong).

Step3: Calculate the number of seniors who listen to music

The total number of seniors is 44. The number of seniors who watch videos is 23. So the number of seniors who listen to music is \(44 - 23=21\) (correct).

Step4: Calculate the total number of students who listen to music

The number of juniors who listen to music is 14 and the number of seniors who listen to music is 21. So the total number of students who listen to music is \(14 + 21=35\) (correct as \(100-65 = 35\)).

Answer:

The student made a mistake in calculating the number of juniors who listen to music. The correct number of juniors who listen to music is \(14\) instead of \(19\).