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 temperature of Two samples differ by __°.
The mean daily high temperature of Sample 1 is (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 85.1°F.
The mean daily high temperature of Sample 2 is (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 85.8°F.
The mean daily high temperature of Two samples differ by 0.7°F.
May you show how you got 0.7°F please bot
To find the difference between the mean daily high temperatures of the two samples, we need to subtract Sample 1's mean from Sample 2's mean:
85.8°F - 85.1°F = 0.7°F
Therefore, the mean daily high temperature of the two samples differ by 0.7°F.
To find the mean daily high temperature of each sample, we add up all the temperatures and divide by the number of temperatures in the sample.
For Sample 1:
Sum of temperatures = 78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88 = 851
Number of temperatures = 10
Mean daily high temperature of Sample 1 = Sum of temperatures / Number of temperatures = 851 / 10 = 85.1°
For Sample 2:
Sum of temperatures = 81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87 = 848
Number of temperatures = 10
Mean daily high temperature of Sample 2 = Sum of temperatures / Number of temperatures = 848 / 10 = 84.8°
The mean daily high temperature of Sample 1 is 85.1°.
The mean daily high temperature of Sample 2 is 84.8°.
To calculate the difference between these mean daily high temperatures, we subtract the mean temperature of Sample 2 from the mean temperature of Sample 1.
Mean daily high temperature difference = Mean temperature of Sample 1 - Mean temperature of Sample 2 = 85.1° - 84.8° = 0.3°
So, the mean daily high temperature of the two samples differ by 0.3°.
To find the mean daily high temperatures of each sample, we need to calculate the average of the given temperature values.
For Sample 1, we add up all the temperature values and divide by the total number of values:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10
Summing up the temperatures gives us 841, and dividing by 10 gives us the mean temperature:
Mean temperature of Sample 1 = 841 / 10
= 84.1°F
For Sample 2, we follow the same process:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10
The sum of these temperatures is 848, and dividing by 10 gives us the mean temperature:
Mean temperature of Sample 2 = 848 / 10
= 84.8°F
Now, to calculate the difference between the mean temperatures of the two samples, we subtract the mean temperature of Sample 1 from the mean temperature of Sample 2:
Difference in mean temperatures = Mean temperature of Sample 2 - Mean temperature of Sample 1
= 84.8°F - 84.1°F
= 0.7°F
Therefore,
The mean daily high temperature of Sample 1 is 84.1°F.
The mean daily high temperature of Sample 2 is 84.8°F.
The mean daily high temperature of the two samples differ by 0.7°F.