For 10 consecutive days, Anthony recorded the daily high temperatures in Dayton and Laredo. The table shows the data.

Daily High Temperatures (in °F)

Dayton: 77 79 82 85 85 86 87 90 91 88
Laredo: 79 80 81 82 84 86 87 88 88 92

Which city has a higher median daily high temperature? How much higher is this city’s median than the other city’s median daily high temperature?

1 answer

To find the median daily high temperature for each city, we first need to arrange the temperatures in ascending order:

Dayton: 77 79 82 85 85 86 87 90 91 88
Laredo: 79 80 81 82 84 86 87 88 88 92

For Dayton, the median temperature is the middle number, which is 86.
For Laredo, the median temperature is the average of the two middle numbers, which are 86 and 87, so (86 + 87) / 2 = 86.5.

Therefore, Dayton's median daily high temperature is 86°F and Laredo's median daily high temperature is 86.5°F. Since Laredo's median temperature is higher, the difference in median daily high temperature between the two cities is 0.5°F.