Using Wolfram Mathematica Instructions: Using Wolfram Mathematica how can i find

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Using Wolfram Mathematica

Instructions:

Using Wolfram Mathematica how can i find the following:

Grading on a Curve Students often ask whether a test might be graded "on a curve". Here's what that means If a large enough group of students is given the same exam, the results will fall into a "normal distribution or bell shaped curve. An example of such a curve is shown below 0.6 0.7 0.8 0.9 Imagine that each student was awarded a score between 0 and 100%, and the number of students earning each score was recorded. While this graph doesn't show us the number of students earning a particular score, it does show us that the most common score was 0.7, or 70%, because the graph is tallest at that point. We can also infer that far fewer students earned a score of 0.9, or 90% because the graph is much lower there. It would also appear that half the students taking the test scored above 70% and about half scored below. This is because the area underneath the curve to the right of x 0.7 appears to be the same as the area underneath the curve to the left of x 0.7. It is the case that, for these types of functions, the area underneath the curve is always 1, because 100% of the students' scores are shown here.

Explanation / Answer

mean = 81, s.d = 3

Grade A = 81 + 2 * 3 = 87

Grade B = 81 + 1 * 3 = 84

Grade C = 81

Grade D = 81 - 1* 3 = 78

Grade F = 81 - 2 * 3 = 75

Interpreation of grade is upto 78 is F, 81-78 is D, 84-81 is C, 87-84 is B and 87 & abv is A

if he scores 77 it is F

b) Mean, 74 s.d 12

A 98 & abv

B 86 - 98

C 74-86

D 62-74

F less than 62

score is 82, therefore grade is C

c) Mean, 66 s.d 8

A 82 & abv

B 74-82

C 66-74

D 58-66

F less than 58

score is 83, therefore grade is A

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