Question

Daily high temperatures
Dayton 77, 82, 85, 87, 90, 85, 79, 86, 91, 88
Laredo 81, 79, 80, 86, 88, 92, 82, 88, 84, 87
Which city has a higher median daily high temperature how much higher is the cities medium than other cities medium daily high temperature?

Answer 1

To find out which city has a higher median daily high temperature, we first need to calculate the median for each city's daily high temperatures.

**Step 1: Sort the temperatures.**

For Dayton:
- Original temperatures: 77, 82, 85, 87, 90, 85, 79, 86, 91, 88
- Sorted: 77, 79, 82, 85, 85, 86, 87, 88, 90, 91

For Laredo:
- Original temperatures: 81, 79, 80, 86, 88, 92, 82, 88, 84, 87
- Sorted: 79, 80, 81, 82, 84, 86, 87, 88, 88, 92

**Step 2: Find the median.**

Since both cities have 10 temperatures (an even number), the median will be the average of the 5th and 6th values in the sorted list.

- **Dayton:**
- 5th value = 85
- 6th value = 86
- Median = (85 + 86) / 2 = 85.5

- **Laredo:**
- 5th value = 84
- 6th value = 86
- Median = (84 + 86) / 2 = 85

**Step 3: Compare medians.**

- Median for Dayton = 85.5
- Median for Laredo = 85

**Step 4: Calculate the difference.**

Difference = 85.5 - 85 = 0.5

**Conclusion:**
Dayton has a higher median daily high temperature than Laredo, and it is 0.5 degrees higher.