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The data in the frequency table were collected in response to the question, "What percentage of your free time do you spend on your smartphone?"

\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Age \\
Category
\end{tabular} & Percentage \\
\hline [tex]$13-18$[/tex] & [tex]$29 \%$[/tex] \\
\hline [tex]$19-29$[/tex] & [tex]$23 \%$[/tex] \\
\hline [tex]$30-49$[/tex] & [tex]$19 \%$[/tex] \\
\hline [tex]$50-64$[/tex] & [tex]$10 \%$[/tex] \\
\hline 65 and older & [tex]$4 \%$[/tex] \\
\hline
\end{tabular}

Is it appropriate to make a pie chart of these data?

A. Yes, the data are expressed as percentages.
B. Yes, the data are grouped into categories.
C. No, the data represent the percentage of time spent by each individual, not a relative frequency compared to the whole.
D. No, the data categories are too broad.

Sagot :

GinnyAnsweridn
Yes, it is appropriate to make a pie chart of these data.

Here’s why:

1. Expressed as Percentages: The data are presented in percentages, which directly shows the parts of a whole. This is ideally suited for a pie chart, which visually represents parts of a whole.

2. Grouped into Categories: The data are divided into distinct age categories, and each category has a corresponding percentage value. Pie charts are great for showing the proportion of each category in comparison to the whole.

Thus, both conditions suitable for using a pie chart are met:
- The data are expressed as percentages.
- The data are grouped into categories.

Therefore, using a pie chart to represent these data would be appropriate.
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