College

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

Answer :

To determine how much greater this week's median temperature is than last week's median temperature, we need to follow these steps:

1. List the Temperatures for Each Week:
- This Week: 65, 73, 73, 74, 73, 75, 71
- Last Week: 68, 51, 62, 66, 85, 72, 72

2. Find the Median Temperature for Each Week:
- For This Week:
- First, arrange the temperatures in order: 65, 71, 73, 73, 73, 74, 75
- Since there are 7 temperatures, the median is the 4th value in the ordered list.
- Median temperature for this week: 73°F

- For Last Week:
- First, arrange the temperatures in order: 51, 62, 66, 68, 72, 72, 85
- Similarly, with 7 temperatures, the median is the 4th value in the ordered list.
- Median temperature for last week: 68°F

3. Calculate the Difference:
- Subtract last week's median from this week's median: 73 - 68 = 5

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