there are 54 students in a class. the venn diagram below shows how many students play a sport, take a…
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 does not take a foreign language foreign language sport 17 21 12
Answer
Explanation:
Step1: Determine students who take a foreign - language and play a sport
The number of students who take a foreign - language and play a sport is the intersection of the two sets in the Venn - diagram, which is 21.
Step2: Determine students who take a foreign - language and do not play a sport
The number of students who take a foreign - language and do not play a sport is 17.
Step3: Determine students who do not take a foreign - language and play a sport
The number of students who do not take a foreign - language and play a sport is 12.
Step4: Calculate students who do not take a foreign - language and do not play a sport
The total number of students is 54. The sum of the three known groups (17 + 21+12)=50. So the number of students who do not take a foreign - language and do not play a sport is 54 - 50 = 4.
Answer:
| Plays a sport | Does not play a sport |
|---|---|
| Takes a foreign language | 21 |
| Does not take a foreign language | 12 |