Question

For this project, you will look at exam scores for two different sections of the same class: an 8am section and a 12pm section. Both sections were given the same exams. In each section there were two versions distributed: Version A and Version B. So in each section some students got version A and some students got Version B. You will use CrunchIt to create graphs and compute values in this assignment. The data file can be found in Moodle under the “Data Sets” portion of the “Misc” section. It is named ExScores (I HAVE LISTED ExScores SCORES BELOW). Keep in mind that answers to questions need to be justified. However, keep explanations/justifications BRIEF!!!!

ExScores DATA:

Score out of 100,Exam Version,Section Time
80.5,A,8
87.5,A,8
70,A,8
80.5,A,8
55.5,A,8
89.5,A,8
68.5,A,8
65.5,A,8
62,A,8
94,A,8
62,A,8
54,A,8
90,A,8
66.5,A,8
82,B,8
75.5,B,8
80.25,B,8
52.5,B,8
49,B,8
87.75,B,8
59,B,8
68.5,B,8
43,B,8
88,B,8
90.5,B,8
91,B,8
85,B,8
42,B,8
35,A,12
56.5,A,12
70.75,A,12
78,A,12
65,A,12
41,A,12
67.5,A,12
49,A,12
52,A,12
66.25,A,12
79.75,A,12
52,A,12
56.5,B,12
39.5,B,12
53.5,B,12
43.5,B,12
76,B,12
48.5,B,12
86,B,12
64.5,B,12
87,B,12
56.5,B,12
49,B,12
79.75,B,12
70,B,12
67.5,B,12
80.5,B,12
57,B,12
61.5,B,12
87,B,12

Question 1: Comparing Sections

In this part, we will compare the two sections only and NOT take into consideration the different versions of the exam. We will use the following question to motivate the work that we do.

A. Motivating Question In Part 1, we will try to answer the question: Did one section do better on the exam than the other? 1) Without looking at the data, do you believe that there is a difference in performance between the sections? If so, which one did better?

B. Shape 1) For each section, create a histogram of the data of bin width 10 beginning at 30. Be sure to appropriately name your histograms! 2) What are the classes for the histograms in 1)? 3) Using the graphs in 1), give the shapes of the distributions. 4) For each section, create a histogram of the data of bin width 5 beginning at 30. Be sure to appropriately name your histograms! 5) What are the classes for the histograms in 4)? 6) Using the graphs in 4), give the shapes of the distributions. 7) Based on your answers to 3) and 6) what is the shape of the distributions of exam scores for each section? 8) Does it appear that one section did better than the other? Explain.

C. 1) For each section, give the mean and standard deviation. 2) Interpret the standard deviation for each section. Did one section seem to vary more than the other? 3) For each section, give the five number summary. 4) Do there appear to be any outliers? 5) Graph side by side box plots of the exam scores for each section. Using the boxplots, does it appear that one section did better than the other? Why? 6) For each section, would you say that the mean or the median is a better measure or do they work about the same? 7) Considering only your answers to 1.3, does it appear that one section did better than the other?

D. 1) Do your results fall in line with your initial thoughts on the motivating question?

Answer 1