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..
The mean daily high temperature of Sample 1 is
?
The mean daily high temperature of Sample 2 is
?
The mean daily high temperatures of the two samples differ by
?
To find the mean daily high temperature of each sample, we sum up all the temperatures and then divide by the total number of temperatures.
For Sample 1:
Sum = 78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88 = 861
Mean = Sum / Number of temperatures = 861 / 10 = 86.1
For Sample 2:
Sum = 81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87 = 848
Mean = Sum / Number of temperatures = 848 / 10 = 84.8
The mean daily high temperature of Sample 1 is 86.1°F
The mean daily high temperature of Sample 2 is 84.8°F
The mean daily high temperatures of the two samples differ by:
86.1 - 84.8 = 1.3°F