College

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

[tex]\[
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{8}{|c|}{\text{High Temperatures for This Week and Last Week}} \\
\hline
\text{This Week ($\circ F$)} & 65 & 73 & 73 & 74 & 73 & 75 & 71 \\
\hline
\text{Last Week ($\circ F$)} & 68 & 51 & 62 & 66 & 85 & 72 & 72 \\
\hline
\end{tabular}
\][/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 solve the problem of finding how much greater this week's median temperature is compared to last week's median temperature, follow these steps:

1. List the Temperatures:
- This week's temperatures: 65, 73, 73, 74, 73, 75, 71
- Last week's temperatures: 68, 51, 62, 66, 85, 72, 72

2. Arrange the Temperatures in Order:
- This week (in ascending order): 65, 71, 73, 73, 73, 74, 75
- Last week (in ascending order): 51, 62, 66, 68, 72, 72, 85

3. Find the Median Temperature:
- The median is the middle value in an ordered list.
- For this week's temperatures, the median is 73 (as it is the fourth value in the ordered list).
- For last week's temperatures, the median is 68 (as it is the fourth value in the ordered list).

4. Calculate the Difference:
- Subtract last week's median from this week's median: [tex]\(73 - 68 = 5\)[/tex].

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