Question

there are 54 students in a class. the venn diagram below shows how many students play a sport, take a foreign language, do both, or do neither. complete the following two - way frequency table.
plays a sport does not play a sport
takes a foreign language 21
does not take a foreign language 12
foreign language sport
17 21 12

Explanation:

Step1: Find number of students who take a foreign - language but don't play a sport

From the Venn - diagram, the number of students who take a foreign language but don't play a sport is 17.

Step2: Find number of students who don't play a sport and don't take a foreign language

The total number of students is 54. The sum of students in the Venn - diagram parts is \(17 + 21+12=50\). So the number of students who don't play a sport and don't take a foreign language is \(54-(17 + 21+12)=4\).

Step3: Find number of students who don't play a sport and take a foreign language

It is 17.

Step4: Find number of students who don't play a sport and don't take a foreign language

It is 4.

Answer:

Plays a sport	Does not play a sport
Does not take a foreign language	12	4