1. How many juniors like to watch track?
2.How many students like tennis best?
3.How many students were surveyed?
4.What percentage of students like track?
5. What percentage of students are in 12th grade and like Soccer?
6. What percentage of seniors like Soccer?
7. What is the relative frequency of being a junior and liking track
8.Out of seniors, what is the relative frequency od liking tennis best?
9.Which sport choice is most popular?
10. Write one statement that compares the sport preferences of the juniors and seniors
Answers
The solution is:
Number of students who like only tennis and football = 2
Number of students who like only tennis and baseball = 5
Number of students who like only baseball and football = 12
What is intersection?The intersection of two sets is the set of all those elements which are common to both of the sets.
here, we have,
Solution:
Let students who likes tennis be represented by set T.
Let students who likes football be represented by set F.
Let students who likes baseball be represented by set B.
Given that
Number of students who likes tennis that is n(T) = 18
Number of students who likes football that is n(F) = 25
Number of students who likes tennis and football = n( T ∩ F ) = 10
Number of students who likes tennis and baseball = n( T ∩ B ) = 13
Number of students who likes football and baseball = n( F ∩ B ) = 20
Number of students who likes all three sports = n(T ∩ F ∩ B ) = 8
Number of students who likes none of the sports = 9.
Determining number of students who like only tennis and football:
number of students who like only tennis and football = Number of students who likes tennis and football - Number of students who likes all three sports
so number of students who like only tennis and football
= n( T ∩ F ) - n(T ∩ F ∩ B )
= 10 – 8
= 2
Determining number of students who like only tennis and baseball:
number of students who like only tennis and baseball = Number of students who likes tennis and baseball - Number of students who likes all three sports
so number of students who like only tennis and baseball
= n( T ∩ B ) - n(T ∩ F ∩ B )
= 13 – 8
= 5
Determining number of students who like only baseball and football:
number of students who like only baseball and football = Number of students who likes baseball and football - Number of students who likes all three sports
so number of students who like only baseball and football
= n( B∩ F ) - n(T ∩ F ∩ B)
= 20 – 8
= 12
Summarizing the result :
number of students who like only tennis and football = 2
number of students who like only tennis and baseball = 5
number of students who like only baseball and football = 12.
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complete question:
In a survey of students about favorite sports, the results include 18 who like tennis, 25 who like football, 10 who like tennis and football, 13 who like tennis and baseball, 20 who like football and baseball, 8 who like all three sports, and 9 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?
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