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 4
Answer
Explanation:
Step1: Find students who take a foreign - language and play a sport
The number of students in the intersection of the two circles is 21. So, the number of students who take a foreign language and play a sport is 21.
Step2: Find students who take a foreign - language and do not play a sport
The number of students in the foreign - language circle but not in the sport circle is 17. So, the number of students who take a foreign language and do not play a sport is 17.
Step3: Find students who do not take a foreign - language and play a sport
The number of students in the sport circle but not in the foreign - language circle is 12. So, the number of students who do not take a foreign language and play a sport is 12.
Step4: Find students who do not take a foreign - language and do not play a sport
The number of students outside both circles is 4. So, the number of students who do not take a foreign language and do not play a sport is 4.
Answer:
| Plays a sport | Does not play a sport | |
|---|---|---|
| Takes a foreign language | 21 | 17 |
| Does not take a foreign language | 12 | 4 |