The table that shows the relative frequency of data is in the below further explanation.
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A set is a clearly defined collection of objects.
To declare a set can be done in various ways such as:
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Multiplying set A x B is by pairing each member of set A with each member of set B.
Example:
A = {1, 2, 3}
B = {a, b}
Then
A x B = {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b)}
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Union of set A and B ( A ∪ B ) is rewriting each member A and combined with each member B.
Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.
Example:
A = {1, 2, 3, 4}
B = {3, 4, 5}
A ∪ B = {1, 2, 3, 4, 5}
A ∩ B = {3, 4}
Let us now tackle the problem!
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A sports club has 84 members who learned baseball, and 42 of those members also learned basketball.
[tex]\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{42}& \\Don't Play Basketball& & \end{array}\right][/tex]
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Number of members who learned baseball but did not learn basketball will be ( 84 - 42 ) = 42 members
[tex]\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42& \\Don't Play Basketball&\boxed{42}& \end{array}\right][/tex]
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There are 25 students who did not learn baseball but learned basketball
[tex]\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&\boxed{25} \\Don't Play Basketball&42& \end{array}\right][/tex]
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8 students did not learn either baseball or basketball
[tex]\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&25 \\Don't Play Basketball&42&\boxed{8} \end{array}\right][/tex]
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Total Number of Students = 42 + 42 + 25 + 8 = 117
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Table of relative frequency
[tex]\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{25}{117}} \\Don't Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{8}{117}} \end{array}\right][/tex]
[tex]\texttt{ }[/tex]
Grade: High School
Subject: Mathematics
Chapter: Sets
Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode
Answer: C
Step-by-step explanation:
Learn baseball Do not learn baseball Total
Learn basketball 0.63 0.37 1
Do not learn basketball 0.84 0.16 1
Total 0.72 0.28 1
