# Statistics Case study : Tabulating the results by ClassOf1

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```									              Sub: Statistics                                                                            Topic: Case study

Question:
Write a report on the following and do a table of your results and plot those
results.

ClassOf1 provides expert guidance to College, Graduate, and High school students on homework and assignment problems in
Math, Sciences, Finance, Marketing, Statistics, Economics, Engineering, and many other subjects.

The maximum number of points that can be accumulated is 30. Note that a few students have
more, because of extra credit. Also, there is some work returned ungraded that has not been
re-submitted yet.

3.32, 30.39, 30.3, 30.1, 29.69, 29.59, 29.49, 29.45, 29.29, 29.19, 28.47, 28, 27.48, 26.8, 25.09,
24.89, 24.57, 23.48, 22.98, 20.47, 19.98, 17.88, 16.98, 16.49, 16.45, 14.19, 13.5, 13.3, 12.6,
12.2, 6, 5, 4, 0.39, 0, 0, 0, 0, 0, 0.

This is an exercise in predicting grades.

1. Force this grading into a normal distribution. What grades would get, A, B, C, F under this
circumstance? This method is commonly called "grading on a curve" or "curving the grades".

2. Grades of 0, zero, this late in the term, are a cause of some consternation. It's rare that a
student has been working and has that grade. Often there is some mix-up in some bureaucracy,
so the Army, UMUC, something. Thus, it's reasonable to assume that they are outliers. Thus,
eliminate them and again determine grades that the active students would get.

3. Now, let's grade according to the Syllabus. This requires some easy extrapolation. Predict
grades on this basis. Compute also the mean, median, and modal grades, and the standard
deviation.

Do a table of all of your results. Plot those results as you think appropriate.

Which grading method do you think is "fair"?

Present your results as a report. I don't care about format, as long as it's professional. Thus, if

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*The Homework solutions from ClassOf1 are intended to help the student understand the approach to solving the problem and not for submitting the same in
Sub: Statistics                                                                            Topic: Case study

there is a standard format for your academic discipline, use it. Otherwise use ALA or anything
else that is self-consistent. There must be at least three references other than our textbook,
and they must be "refereed", so things like Wikipedia won't do.

The report can be any length. It's a professional report. I'm the customer. I want the
information I requested in a form that I, and my vice-presidents, who are not statisticians, can
understand.

We don't want empty "filler". We do like attractive and readable graphics. The report must be
submitted to your Assignment Folder by the due date, which also is the lock date, or you won't
get paid. We won't return the report for re-submission.

You get credit for what you give us on the first submission. You are encouraged to discuss the
work in the appropriate Study Group. The final computations and submission, however, must

Solution:
1.

1        3.32    0.11          F
2        30.39   0.88         B
3        30.30   0.88         B
4        30.10   0.87         B
5        29.69   0.87         B
6        29.59   0.86         B
7        29.49   0.86         B
8        29.45   0.86         B
9        29.29   0.86         B
10       29.19   0.86         B
11       28.47   0.84         B
12       28.00   0.83         B
13       27.48   0.82         B

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Sub: Statistics                                                                            Topic: Case study

14         26.80          0.80               B
15         25.09          0.76               C
16         24.89          0.75               C
17         24.57          0.74               C
18         23.48          0.71               C
19         22.98          0.69               D
20         20.47          0.61               F
21         19.98          0.59               F
22         17.88          0.52               F
23         16.98          0.49               F
24         16.49          0.47               F
25         16.45          0.47               F
26         14.19          0.39               F
27         13.50          0.37               F
28         13.30          0.36               F
29         12.60          0.34               F
30         12.20          0.32               F
31         6.00           0.16               F
32         5.00           0.14               F
33         4.00           0.12               F
34         0.39           0.07               F
35         0.00           0.06               F
36         0.00           0.06               F
37         0.00           0.06               F
38         0.00           0.06               F
39         0.00           0.06               F
40         0.00           0.06               F

2.

1    3.32             0.03                   F
2   30.39             0.86                  B
3   30.30             0.86                  B

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*The Homework solutions from ClassOf1 are intended to help the student understand the approach to solving the problem and not for submitting the same in
Sub: Statistics                                                                            Topic: Case study

430.10    0.86            B
529.69    0.84            B
629.59    0.84            B
729.49    0.84            B
829.45    0.84            B
929.29    0.83            B
1029.19    0.83            B
1128.47    0.81            B
1228.00    0.80            B
1327.48    0.78            C
1426.80    0.76            C
1525.09    0.70            D
1624.89    0.69            D
1724.57    0.68            D
1823.48    0.63            F
1922.98    0.61            F
2020.47    0.51            F
2119.98    0.48            F
2217.88    0.39            F
2316.98    0.36            F
2416.49    0.34            F
2516.45    0.34            F
2614.19    0.25            F
2713.50    0.23            F
2813.30    0.22            F
2912.60    0.20            F
3012.20    0.19            F
31 6.00    0.06            F
32 5.00    0.05            F
33 4.00    0.04            F
34 0.39    0.01            F
1    3.32   0.03         F            0.13 F

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*The Homework solutions from ClassOf1 are intended to help the student understand the approach to solving the problem and not for submitting the same in