Question

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. or the students who did not water sports, 70% liked pop music.

Complete the two-way frequency table.

Answer 1

Answer:

$\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right]$

Step-by-step explanation:

70% of 40 is 28, with that number you can obtain the other data.

Answer 2

What I got is in the image below.

I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.