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Select the table that shows a frequency distribution.

A.
\begin{tabular}{|c|c|}
\hline Age & \begin{tabular}{c}
Height \\
(in \\
inches)
\end{tabular} \\
\hline 15 & 63 \\
\hline 16 & 64.5 \\
\hline 17 & 65 \\
\hline
\end{tabular}

B.
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Weight of salad \\
(in oz)
\end{tabular} & Cost of salad \\
\hline 12 & [tex]$\$[/tex] 6[tex]$ \\
\hline 16 & $[/tex]\[tex]$ 8$[/tex] \\
\hline 20 & [tex]$\$[/tex] 10$ \\
\hline
\end{tabular}

C.
\begin{tabular}{|c|c|}
\hline School & \begin{tabular}{c}
Number of \\
students
\end{tabular} \\
\hline Elementary & 90 \\
\hline
\end{tabular}

Sagot :

GinnyAnsweridn
To determine which table shows a frequency distribution, let’s first understand what a frequency distribution is. A frequency distribution table categorizes data into distinct groups or intervals and shows the number of occurrences in each group.

Let’s analyze each table one by one:

### Table A:
[tex]\[ \begin{tabular}{|c|c|} \hline Age & Height (in inches) \\ \hline 15 & 63 \\ \hline 16 & 64.5 \\ \hline 17 & 65 \\ \hline \end{tabular} \][/tex]

This table presents individual data pairs consisting of Age and Height. It does not categorize a variable into groups showing the frequency of occurrences.

### Table B:
[tex]\[ \begin{tabular}{|c|c|} \hline Weight of salad (in oz) & Cost of salad \\ \hline 12 & \$6 \\ \hline 16 & \$8 \\ \hline 20 & \$10 \\ \hline \end{tabular} \][/tex]

This table presents individual pairs of Weight and Cost. Similar to Table A, it does not show how many times a particular weight or cost occurs in the dataset.

### Table C:
[tex]\[ \begin{tabular}{|c|c|} \hline School & Number of students \\ \hline Elementary & 90 \\ \hline \end{tabular} \][/tex]

This table shows a category (type of school) and the number of students in that category, which is indicative of a frequency distribution. The school type can be considered a categorical variable, and the table shows how many students (frequency) belong to each school type.

### Conclusion:
The table that shows a frequency distribution is Table C, which presents the number of students (frequency) in a given category (school type).

Therefore, the correct answer is:
Choice C
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