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?

a. Dayton has higher median daily high temperature than Laredo by 0.3 F.

b. Laredo has a higher median daily high temperature the Dayton by 0.5 F.

c. Dayton has a higher median daily high temperature the Laredo by 0.5 F.

d. Laredo has a higher median daily high temperature the Dayton by 1 F.

1 answer

To find the median temperature for both cities, we need to first arrange the temperatures in ascending order:

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

For Dayton, there are 10 temperatures, so the median will be the average of the 5th and 6th smallest numbers, which is (85 + 86) / 2 = 85.5 F.

For Laredo, the median will also be the average of the 5th and 6th smallest numbers, which is (84 + 86) / 2 = 85 F.

Therefore, Dayton has a higher median daily high temperature than Laredo by 0.5 F. The correct answer is:

c. Dayton has a higher median daily high temperature than Laredo by 0.5 F.