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Regents Exam Questions S.ID.B.5: Frequency Tables

A middle school conducted a survey of students to determine if they spent more of their time playing games or watching videos on their tablets. The results are shown in the table below.

\begin{tabular}{|l|c|c|c|}
\hline & \begin{tabular}{c}
Playing \\
Games
\end{tabular} & \begin{tabular}{c}
Watching \\
Videos
\end{tabular} & Total \\
\hline Boys & 138 & 46 & 184 \\
\hline Girls & 54 & 142 & 196 \\
\hline Total & 192 & 188 & 380 \\
\hline
\end{tabular}

Of the students who spent more time playing games on their tablets, approximately what percent were boys?

1) 41
2) 56
3) 72
4) 75



Answer :

GinnyAnswer
To determine the percentage of students playing games who were boys, let's follow these steps:

1. Identify Total Students Playing Games: The table shows that the total number of students who spent more time playing games on their tablets is 192.

2. Identify Boys Playing Games: According to the table, the number of boys who spent more time playing games is 138.

3. Calculate the Percentage: The percentage of boys who played games compared to the total number of students playing games can be found using the formula for percentage:

[tex]\[ \text{Percentage} = \left( \frac{\text{Number of Boys Playing Games}}{\text{Total Students Playing Games}} \right) \times 100 \][/tex]

Plugging in the numbers:

[tex]\[ \text{Percentage} = \left( \frac{138}{192} \right) \times 100 \][/tex]

4. Perform the Calculation: Calculating this gives us:

[tex]\[ \text{Percentage} \approx 71.875\% \][/tex]

Therefore, the percentage of students who spent more time playing games on their tablets and were boys is approximately [tex]\( 72\% \)[/tex].

Given the choices, the correct answer is:

3) 72

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