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Created: Oct 3, 2019
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Reese Clayton Ch. 3 Project
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Statistics 300 - Chapter 3 Project

Below is the data used for my Chapter 3 project.

Data set 1. Chapter 3 Project Data   [Info]
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1. Compute the following statistics for each test: mean, median, and standard deviation.

  • Result 1: mean,median, std. dev. ver1 & ver2 Ch. 3 project   [Info]

    Summary statistics:


    ColumnMeanMedianStd. dev.
    Version 179.2777788211.262101
    Version 284.121951859.399987

2. Create a histogram for each set of test scores.

  • Version 1 

    Result 2: Histogram ver1 Ch. 3 project   [Info]
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  • Version 2 

    Result 3: Histogram ver2 Ch. 3 project   [Info]
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3. Create a pie chart showing the letter grade breakdown for each test. (You will need to manually count how many A’s, B’s, . . . and do a pie chart with summary.)

  • Version 1 

    Result 4: letter grade ver1 Ch. 3 project   [Info]
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  • Version 2 

    Result 5: Letter grade ver2 Ch. 3 project   [Info]
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4. Create a pie chart showing the pass/fail breakdown for each test. (You will need to manually count how many students passed and failed, then do a pie chart with summary.)

  • Version 1 

    Result 6: pass/fail ver1 Ch. 3 project   [Info]
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  • Version 2 

    Result 7: pass/fail ver2 Ch. 3 project   [Info]
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5. Suppose your score on Version One was 82 and your friend’s score on Version Two was 82. Who scored relatively better? Explain.

  • Version 1 z score (82-79.3)/11.3= 0.24
  • Version 2 z score (82-84.1)/9.4= -0.22
  • If I scored an 82 on version 1, I scored relatively better than my friend. My z score is higher based on the mean and standard deviation of each test. This is a good way to compare two different testing styles and put them on an equal scale. 

6. Find the 5-number summary for each set of scores.

7. Draw a box plot for each set of scores.

  • Version 1 

    Result 9: Boxplot ver1 Ch. 3 project   [Info]
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  • Version 2 

    Result 10: Boxplot ver2 Ch. 3 project   [Info]
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8. Use your results to support a paragraph that answers the question “Were the two exams of equal difficulty?” Use StatCrunch and My Reports to include the descriptive statistics and write your responses.

  • The tests were not of equal difficulty. test number one was more difficult than test number two. This is evident based on the data. Twice the amount of people failed the first test compared to the secont test. More students got an A or B on the second test. In fact, the same amount of students got an A or a B on the second test. Comparing the mean, meadian, and standard deviations of each test, test one had a significantly lower mean and median with a higher standard deviation. However, both tests shared the same max score, while the minumums varied significanlty. Test number two had a higher min score than test number 1. Overall based on the data, graphs, and my calculations it summarizes to test number 2 is a more difficult test.

HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=91667">Reese Clayton Ch. 3 Project</A>

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