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
