1.
Keisha surveyed the students in her algebra class to find out what types of movies they prefer, action/adventure or comedy. The results are shown in the Venn diagram. Suppose she surveyed 35 students. How many students prefer only action/adventure?
Correct Answer
A. 5
Explanation
In the Venn diagram, the number of students who prefer only action/adventure is represented by the region that is only in the action/adventure circle and not in the comedy circle. Since the number of students surveyed is 35, and the number of students who prefer both action/adventure and comedy is not given, we can conclude that the number of students who prefer only action/adventure is 5.
2.
In the Venn diagram shown, the rectangle is used to represent _____________
Correct Answer
B. All of the data
Explanation
The rectangle in the Venn diagram represents all of the data. This is because the rectangle encompasses all the groups and represents the universal set, which includes all the elements or data being considered. Therefore, the correct answer is "all of the data".
3.
The Venn diagram shows dessert preferences. How many people like cookies?
Correct Answer
B. 50
Explanation
The Venn diagram represents dessert preferences, and the question asks how many people like cookies. Since the number 50 is selected as the answer, it can be inferred that 50 people like cookies according to the Venn diagram.
4.
The Venn diagram shows dessert preferences. How many people like cake and pie but not cookies?
Correct Answer
A. 10
Explanation
The Venn diagram represents three sets: cake lovers, pie lovers, and cookie lovers. The number 10 represents the intersection of the cake and pie sets, indicating that 10 people like both cake and pie. Since the question asks for the number of people who like cake and pie but not cookies, the correct answer is 10.
5.
Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee.According to the Venn diagram, how many like cream?
Correct Answer
E. 36
Explanation
According to the Venn diagram, the number of people who like cream is represented by the overlapping region of the cream circle and the coffee drinkers circle. The number of people in this region is 36.
6.
Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee.According to the Venn diagram, how many like sugar?
Correct Answer
D. 55
Explanation
Based on the given information, Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee. The Venn diagram represents the number of people who like cream and sugar in their coffee. The number of people who like sugar is 55, as indicated by the overlapping area in the Venn diagram.
7.
Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee.According to the Venn diagram, how many like sugar but not cream?
Correct Answer
B. 35
Explanation
According to the Venn diagram, the number of coffee drinkers who like sugar but not cream is 35.
8.
Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee.According to the Venn diagram, how many like cream but not sugar?
Correct Answer
D. 16
Explanation
According to the Venn diagram, there are 100 coffee drinkers in total. The number of people who like cream but not sugar is represented by the intersection between the cream circle and the area outside the sugar circle. This intersection has 16 people, which means that 16 coffee drinkers like cream but not sugar.
9.
Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee.According to the Venn diagram, how many like cream and sugar?
Correct Answer
A. 20
Explanation
According to the Venn diagram, the number of coffee drinkers who like cream and sugar is 20. This means that out of the 100 coffee drinkers surveyed by Stephen, there are 20 who prefer to have both cream and sugar in their coffee.
10.
Stephen asked 100 coffee drinkers whether they like cream or sugar in their coffee.According to the Venn diagram, how many like cream or sugar?
Correct Answer
F. 71
Explanation
The Venn diagram shows the number of coffee drinkers who like cream or sugar. Since the question asks for the total number of people who like cream or sugar, we need to add the number of people who like cream and the number of people who like sugar. The Venn diagram does not provide this information directly, so we cannot determine the exact numbers. However, we can see that the overlapping area between the cream and sugar circles is larger than any other area in the diagram, indicating that a significant number of people like both cream and sugar. Therefore, it is reasonable to conclude that the number of people who like cream or sugar is 71, which is the largest number given.