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.
(2 points)
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 of a set of numbers, we add up all the numbers and then divide by the number of numbers in the set.
For Sample 1:
78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88 = 851
The mean daily high temperature of Sample 1 is 851 / 10 = 85.1
For Sample 2:
81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87 = 848
The mean daily high temperature of Sample 2 is 848 / 10 = 84.8
To find the difference between the means of the two samples, we subtract the mean of Sample 2 from the mean of Sample 1.
85.1 - 84.8 = 0.3
Therefore:
The mean daily high temperature of Sample 1 is 85.1
The mean daily high temperature of Sample 2 is 84.8
The mean daily high temperatures of the two samples differ by 0.3.