Statistics Unit Test

Question

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Question
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 °.

Answer 1

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

For Sample 1:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 865 / 10 = 86.5

So, the mean daily high temperature of Sample 1 is 86.5 degrees Fahrenheit.

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

So, the mean daily high temperature of Sample 2 is 84.8 degrees Fahrenheit.

The difference between the mean daily high temperatures of the two samples is:
86.5 - 84.8 = 1.7 degrees

Therefore, the mean daily high temperatures of the two samples differ by 1.7 degrees Fahrenheit.