Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in fahrenheit are as follows. Sample 1:78,82,85,87,90,85,79,86,91,88. Sample 2:81,79,80,86,89,92,82,88,84,87. Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.

Answer 1

To find the mean daily high temperatures of each sample, we first sum all the temperatures and then divide by the number of temperatures.

Sample 1 mean:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10
= 861 / 10
= 86.1

Sample 2 mean:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10
= 848 / 10
= 84.8

Now, we find the difference between these mean daily high temperatures:
86.1 - 84.8 = 1.3

Therefore, the difference between the mean daily high temperatures of Sample 1 and Sample 2 is 1.3 degrees Fahrenheit.