Last week's and this week's daily high temperatures are shown in the table below.

[tex]
\[
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{8}{|c|}{High Temperatures for This Week and Last Week} \\
\hline
\begin{tabular}{c}
High Temperatures \\
This Week (${ }^{\circ} F$)
\end{tabular} & 65 & 73 & 73 & 74 & 73 & 75 & 71 \\
\hline
\begin{tabular}{c}
High Temperatures \\
Last Week (${ }^{\circ} F$)
\end{tabular} & 68 & 51 & 62 & 66 & 85 & 72 & 72 \\
\hline
\end{tabular}
\]
[/tex]

How much greater is this week's median temperature than last week's median temperature?

A. 2 degrees
B. 3 degrees
C. 4 degrees
D. 5 degrees

To solve the problem of finding how much greater this week's median temperature is than last week's median temperature, we need to determine the median temperature for each week and then calculate the difference between them. Let's go through the process step-by-step:

1. Determine the Median for This Week:

- This week's temperatures are: 65, 73, 73, 74, 73, 75, 71.
- First, let's sort these temperatures in ascending order: 65, 71, 73, 73, 73, 74, 75.
- The median is the middle value in this sorted list. Since there are seven values (an odd number), the median is the fourth value.
- Median for this week = 73°F.

2. Determine the Median for Last Week:

- Last week's temperatures are: 68, 51, 62, 66, 85, 72, 72.
- Sort these temperatures in ascending order: 51, 62, 66, 68, 72, 72, 85.
- Again, with seven values, the median is the fourth value.
- Median for last week = 68°F.

3. Calculate the Difference:

- To find how much greater this week's median temperature is compared to last week's, subtract the median of last week from the median of this week:
- Difference = 73°F - 68°F = 5°F.

Therefore, this week's median temperature is 5 degrees greater than last week's median temperature. The correct answer is 5 degrees.