This is my Chapter 3 Project for Prof. Sanford's Stat 300 T/Th 5:30pm7:35pm.
1. Below are my stats for each test, which consists of their mean, median, and standard deviation.
Summary statistics:

2. Below is a histogram for the set of test 1 scores.
Below is a histogram for the set of test 2 scores.
3. Below is a pie chart showing the letter grade breakdown for test 1.
Below is a pie chart showing the letter grade breakdown for test 2.
4. Below is a pie chart showing the pass/fail breakdown for test 1.
Below is a pie chart showing the pass/fail breakdown for test 2.
5. Suppose I scored an 82 on the first test; and a friend of mine also scored an 82, but on the second test. Who scored relatively better? To determine this, I'd have to calculate the zscores and compare. The formula: z= x  population mean all divided by the standard deviation. To calculate my z score : 82  79.28 = 2.72, then divided by the standard deviation, I get z = 0.24. To calculate my friend's zscore : same formula, but this time subtracting the population mean of the second test which will look like : z = 82  84.12 = 2.12, then divided by it's population standard deviation of 9.4 , I get z = 0.23 for my friends test score. I can conclude that I did relatively better because I scored 0.24 higher than the average test scores of my class, and my friend scores 0.23 below her class average.
6. Below is a 5number summary for each set of scores.
Summary statistics:

7. Below is a box plot for test 1.
Below is a box plot for test 2.
8. Below are the descriptive statistics for both tests. I do not think the tests were created of equal difficulty. As shown below, the standard deviation which is how spread out the data are, in other words, how far a data value is from normal, the numerical summaries of test 2 are a bit higher than those of test 1. Along with the minimum, median, quartiles, etc., the students who took test 2 scored higher than the students who took test 1. The minimum score in test 1 is a score of 53 and the minimum of test 2 is a score of 64. That is a difference of 11 points, which is significant in terms of a test. Also the first quartiles show that 25% of students who took the first test scored 73.5 or lower, whereas 25% of students who took test 2 scored 77 or lower. Taking a look at the third quartile, it shows that 75% of students who took test 1 scored 88 or lower, which means the other 25% scored higher than 88. As for those students who took test 2, 75% of the students scored 94 or lower, which means the other 25% scored higher than 94. As we can see in the pie chart that shows the breakdown of letter grades for test 2, more than about 68% of the students scored a B or higher. The letter grade breakdown for students who took test 1 shows that barely over 54% of the class scored a B or higher. Also the pass/fail pie charts show that of the students who took test 1, 22.22% failed, whereas of those who took test 2, only 9.76% failed. Therefore, I am convinced that the tests were not created of equal difficulty and test 2 was a bit easier than test 1.
Summary statistics:

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