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 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 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.

For Dayton:
77, 79, 82, 85, 85, 86, 87, 88, 90, 91

The median is the middle value, which is 86.

For Laredo:
79, 80, 81, 82, 84, 86, 87, 88, 88, 92

The median is the average of the two middle values, which are 84 and 86. So, the median for Laredo is (84 + 86) / 2 = 85.

Therefore, Dayton has a higher median daily high temperature (86) compared to Laredo (85). Dayton's median is 1 degree higher than Laredo's median.