Answer :
To determine how much greater this week's median temperature is compared to last week's, we need to find the median temperatures for each week and then compare them.
### Step-by-Step Solution:
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. Sort the temperatures:
- This Week (Sorted): 65, 71, 73, 73, 73, 74, 75
- Last Week (Sorted): 51, 62, 66, 68, 72, 72, 85
3. Find the median:
- The median is the middle number in a sorted list of numbers.
- This Week:
- The middle value in the sorted list of this week's temperatures (65, 71, 73, 73, 73, 74, 75) is 73.
- Last Week:
- The middle value in the sorted list of last week's temperatures (51, 62, 66, 68, 72, 72, 85) is 68.
4. Calculate the difference between the two medians:
- 73 (this week's median) - 68 (last week's median) = 5 degrees
Therefore, this week's median temperature is 5 degrees greater than last week's median temperature. The answer is 5 degrees.
### Step-by-Step Solution:
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. Sort the temperatures:
- This Week (Sorted): 65, 71, 73, 73, 73, 74, 75
- Last Week (Sorted): 51, 62, 66, 68, 72, 72, 85
3. Find the median:
- The median is the middle number in a sorted list of numbers.
- This Week:
- The middle value in the sorted list of this week's temperatures (65, 71, 73, 73, 73, 74, 75) is 73.
- Last Week:
- The middle value in the sorted list of last week's temperatures (51, 62, 66, 68, 72, 72, 85) is 68.
4. Calculate the difference between the two medians:
- 73 (this week's median) - 68 (last week's median) = 5 degrees
Therefore, this week's median temperature is 5 degrees greater than last week's median temperature. The answer is 5 degrees.