Question

A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. There are 25 students who did not learn baseball but learned basketball, and 8 students did not learn either baseball or basketball. Which table best shows the relative frequency of rows for the data? Report by NightBlade15

Answer 1

The table that shows the relative frequency of data is in the below further explanation.

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Further explanation

A set is a clearly defined collection of objects.

To declare a set can be done in various ways such as:

• With words or the nature of membership

• With set notation

• By registering its members

• With Venn diagrams

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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.

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{42}& \\Don't Play Basketball& & \end{array}\right]$

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Number of members who learned baseball but did not learn basketball will be ( 84 - 42 ) = 42 members

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42& \\Don't Play Basketball&\boxed{42}& \end{array}\right]$

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There are 25 students who did not learn baseball but learned basketball

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&\boxed{25} \\Don't Play Basketball&42& \end{array}\right]$

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8 students did not learn either baseball or basketball

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&25 \\Don't Play Basketball&42&\boxed{8} \end{array}\right]$

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Total Number of Students = 42 + 42 + 25 + 8 = 117

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Table of relative frequency

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{25}{117}} \\Don't Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{8}{117}} \end{array}\right]$

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Learn more

• Mean , Median and Mode : brainly.com/question/2689808
• Centers and Variability : brainly.com/question/3792854
• Subsets of Set : brainly.com/question/2000547

Answer details

Grade: High School

Subject: Mathematics

Chapter: Sets

Keywords: Sets , Venn , Diagram , Intersection , Union , Mean , Median , Mode

Answer 2

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