Imagine two different classes, Class A and Class B, that recently took the same mathematics test. The scores for each class were recorded and are shown below. Your task is to compare the two distributions using measures of center and standard deviation.
Class A Scores:
62, 90, 42, 92, 88, 84, 91, 87, 97, 100
Class B Scores:
75, 80, 78, 85, 90, 82, 88, 84, 81, 87
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Question 1
1.
Calculate the mean for both classes.
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Question 2
2.
Calculate the standard deviation for both classes.
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Question 3
3.
Based on the measures of center and variation calculated for both classes, which class in your opinion performed better? Be sure to back your opinion up with data.
Unit 7 – Item 2
Kris and Jeremy were looking at the variables below to determine which of the variables would produce positive correlations.
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Question 4
4.
Which student is incorrect? Why?
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Question 5
5.
Create a situation where there is a positive correlation and a situation where there is a negative correlation. Explain.
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Question 6
6.
Unit 7 – Item 3
Determine the strength of the correlation based on the graph provided.
Unit 7 - Item 4
A class of students recorded the number of hours they studied in a week. The data collected
and boxplot of the data are as follows:
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Question 7
7.
Determine if there are any outliers. Explain how you know.
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Question 8
8.
Determine the median value of the data.
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Question 9
9.
Calculate the interquartile range
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Question 10
10.
What assumptions can be made about the number of hours these students’ study in a week based on the information you’ve calculated?