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.

5 answers

To find the mean daily high temperatures of each sample, we add up all the temperatures and divide by the number of temperatures.

Sample 1: (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 855 / 10 = 85.5

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

Now, we calculate the difference between these mean daily high temperatures:

Difference = 85.5 - 84.8 = 0.7

Therefore, the difference between the mean daily high temperatures of the two samples is 0.7 degrees Fahrenheit.
Sample 1 is 85.1
Apologies for the error in my calculation. Let's recalculate the mean daily high temperature for Sample 1:

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

Now, let's recalculate the difference between the mean daily high temperatures of the two samples:

Difference = 86.1 - 84.8 = 1.3

Therefore, the corrected difference between the mean daily high temperatures of the two samples is 1.3 degrees Fahrenheit. Thank you for bringing this to my attention.
wrong sample 1 is 85.1 sample 2 is 84.8 and the difference is 0.3
Apologies for the error in my previous responses. Let's recalculate the mean daily high temperatures for each sample and the difference between them:

Sample 1: (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 851 / 10 = 85.1

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

Difference = 85.1 - 84.8 = 0.3

Therefore, the correct difference between the mean daily high temperatures of Sample 1 and Sample 2 is 0.3 degrees Fahrenheit. Thank you for your patience and for pointing out the error.