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Question
Math
Posted 3 months ago

The two-way frequency table below shows data on playing a musical instrument and playing sports for the students in Jorge's class.
\begin{tabular}{lccc} 
& Play sports & Do not play sports & Total \\
\hline Play a musical instrument & 6 & 7 & 13 \\
Do not play a musical instrument & 8 & 3 & 11 \\
Total & 14 & 10 & 24
\end{tabular}

Which of the following statements about Jorge's class is true?
Choose 1 answer:
(A) Students who do not play sports are more likely to play a musical instrument than students who do play sports.
(B) The fewest students play both a sport and a musical instrument.
(C) Students who play musical instruments are more likely to play sports than to not play sports.
(D) More students do not play sports than play sports.
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 1
Review the given two-way frequency table to understand the distribution of students who play a musical instrument and/or play sports
step 2
Compare the number of students who play a musical instrument and play sports (6) with the number of students who play a musical instrument and do not play sports (7)
step 3
Compare the number of students who do not play a musical instrument and play sports (8) with the number of students who do not play a musical instrument and do not play sports (3)
step 4
Analyze the total number of students who play sports (14) and do not play sports (10) to determine the overall participation in sports
step 5
Evaluate the statements given in the options (A) through (D) based on the data from the table
[question number] Answer
(A) Students who do not play sports are more likely to play a musical instrument than students who do play sports.
Key Concept
Interpreting a two-way frequency table
Explanation
The statement (A) is true because 7 students who do not play sports play a musical instrument, which is more than the 6 students who play both sports and a musical instrument. The other statements are not supported by the data in the table.

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