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The data in the table describes the preferred type of exercise of 9th graders.

\begin{tabular}{|c|l|l|l|l|}
\hline & Cycling & Running & Swimming & Row Totals \\
\hline Boy & [tex]$12 \%$[/tex] & [tex]$18 \%$[/tex] & [tex]$16 \%$[/tex] & \\
\hline Girl & [tex]$14 \%$[/tex] & [tex]$21 \%$[/tex] & [tex]$19 \%$[/tex] & \\
\hline Column Totals & & & & [tex]$100 \%$[/tex] \\
\hline
\end{tabular}

Find the marginal relative frequency for students who prefer cycling as their preferred type of exercise.

A. [tex]$12 \%$[/tex]

B. [tex]$14 \%$[/tex]

C. [tex]$26 \%$[/tex]

D. [tex]$39 \%$[/tex]

Sagot :

GinnyAnsweridn
To find the marginal relative frequency for students who prefer cycling, we need to determine the total percentage of both boys and girls who prefer cycling.

1. According to the given data, the percentage of boys who prefer cycling is [tex]\(12\%\)[/tex].

2. Similarly, the percentage of girls who prefer cycling is [tex]\(14\%\)[/tex].

3. To find the overall percentage of students who prefer cycling, we simply add these two percentages together:
[tex]\[ 12\% \ (\text{boys}) + 14\% \ (\text{girls}) = 26\% \][/tex]

Therefore, the marginal relative frequency for students who prefer cycling is [tex]\(26\%\)[/tex].

The correct answer is [tex]\(26 \%\)[/tex].
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