# Final Grades for Linear Algebra Course

• ver_mathstats
In summary, the grading scale for the Linear Algebra course typically follows a standard letter grade scale. Final grades are calculated based on a combination of assignments, quizzes, exams, and class participation, but the weight of each component may vary among professors. Some professors may choose to curve final grades, while others may not. If a student fails the course, they may need to retake it or explore other options with their academic advisor. It is common for professors to allow students to view their final exams or assignments after grades are posted, but this may vary depending on the professor.
ver_mathstats

## Homework Statement

Consider the below vector x, which you can copy and paste directly into Matlab. The vector contains the final grades for each student in a large linear algebra course.

x = [59 70 83 89 72 70 54 55 68 61 61 58 75 54 65 55 62 39 43 53 67 100 60 100 61 100 77 60 69 91 82 71 72 70 71 75 72 60 85 83 62 70 80 73 54 34 76 62 63 72 65 53 69 86 59 50 56 69 66 60 59 38 84 87 62 45 97 43 65 51 79 89 64 65 54 79 32 78 62 68 79 70 66 74 73 62 45 93 68 90 76 79 76 82 44 90 76 74 65 71 56 90 68 70 62 75 88 75 96 58 84 88 59 57 75 61 75 72 69 70 69 70 81 65 70 73 97 84 59 67 87 51 67 69 59 82 55 84 73 100 91 82 58 62 75 76 55 63 71 76 66 61 57 85 72 69 82 77 58 64 86 79 57 71 66 62 67 53 35 70 78 97 54 53 56 70 83 70 60 75 82 60 78 64 71 59 72 84 82 94 64 73 57 74 74 67 94 55 77 59 58 59 68 94 80 61 86 76 59 50 65 72 61 61 78 81 91 76 58 78 63 55 54 79 86 61 61 66 63 22 45 58 63 83 61 70 87 88 78 78 72 85 67 92 83 84 73 69 44 59 69 69 84 50 61 82 60 79 56 65 76 88 93 59 65 77 70 83 71 57 99 82 81 65 68 70 76 100 68 65 83 59 40 64 77 73 64 61 57 76 50 91 69 59 72 69 88 54 73 62 58 74 71 72 69 66 69 67 61 85 78 73 85 62 83 63 62 81 72 54 100 68 67 56 83 80 60 64 63 71 70 87 38 73 61 81 75 84 75 70 75 71 77 77 64 75 65 63 54 71 60 68 65 58 56 66 61 83 95 53 66 85 58 65 72 87 68 62 72 79 78 80 75 97 63 74 77 89 59 74 59 58 66 64 68 71 66 49 58 73 62 72 63 57 58 53 68 64 69 89 59 70 70 83 53 71 28 70 49 87 67 69 87 50 61 78 67 71 58 85 54 90 95 52 63 56 64 46 71 58 62 73 89 75 54 75 77 74 65 79 67 77 91 70 70 62 90 65 67 68 53 86 71 52 74 75 77 70 90 79 63 76 42 86 89 79 100 80 85 78 82 55 77 42 60 67 62 83 80 61 81 65 62 92 63 77 66 57 69 65 67 62 85 56 79 70 77 76 67 52 50 70 70 67 61 61 85 67 77 67 53 75 54 61 94 100 53 67 60 59 73 68 51 58 65 80 69 76 53 75 76 58 46 75 63 56 79 64 56 87 63 58 76 72 84 73 68 64 75 55 81 59 69 60 52 53 62 84 71 55 91 85 42 94 76 59 73 78 61 46 77 69 82 63 76 77 67 38 65 67 84 71 69 77 61 71 53 68 86 77 72 77 71 64 94 49 58 59 47 85 55 68 66 76 78 68 61 83 84 46 81 38 36 56 50 78 97 83 84 79 48 98 96 51 41 66 45 80 60 76 84 65 98 74 54 58 60 42 60 71 55 71 84 81 72 82 69 68 70 85 61 94 70 62 87 56 53 70 65 60 65 68 99 89 57 82 67 100 68 69 57 47 63 33 73 54 69 67 78 78 63 68 53 48 41 68 89 73 58 64 63 60 68 79 78 62 64 62 70 67 50 89 62 48 91 74 71 82 76 69 59 81 70 73 60 84 60 74 62 57 74 63 43 51 81 80 62 67 69 64 48 81 42 74 49 77 73 82 74 68 61 57 94 69 54 64 57 63 64 85 82 71 80 66 72 67 61 67 77 86 56 61 68 71 55 59 85 62 64 61 71 89 52 54 65 72 73 76 42 81 91 79 72 65 74 69 66 77 77 78 73 67 65 76 69 64 68 61 82 52 84 44 77 75 86 63 57 56 76 72 87 72 77 55 88 75 83 69 57 96 55 78 76 61 71 56 73 95 74 46 56 74 54 88 61 86 61 51 64 66 85 83 75 30 82 66 60 68 67 78 75 69 55 96 70 70 51 75 74 71 73 76 88 81 57 69 42 74 52 71 98 82 75 79 54 71 55 77 80 69 97 46 49 56 64 51 83 77 47 66 57 73 81 59 78 88 72 58 51 57 76 82 38 53 79 55 78 61 65 40 81 85 81 55 64 83 64 88 64 87 69 67 65 67 46 65 57 47 46 61 57 66 64 69 94 82 50 64 59 79 71 83 87 69 85 65 81 100 61 63 67 56 84 50 61 94 89 73 76 78 62 85 70 47 77 83 52 59 84 80 77 83 38 83 59 87 48 58 77 71 59 48 79 52 83 50 100 57 72 45 84 65 84 72 83 53 66 82 60 82 71 79 71 82 77 56 66]'

(a) What proportion of students failed the course (i.e., got a mark of less than 50)?
(Note that since the answer is a proportion, it must be between 0 and 1.)

(b) What proportion of students got a B-, B, or B+ (i.e., got a mark between 70 and 79, inclusive)?

2. Homework Equations

## The Attempt at a Solution

For question (a) I did failCount=sum(x<50) and I got 61 and the proportion I got was 0.0606. Is this correct?

For question (b) I did between= x(x>=70 & x<=79) to obtain all of the grades from 70 to 79 but now I am unsure of how to get the proportion, I did gradeRatio= between/numel(x) however it gave me several different decimal points, I am unsure of where I went wrong?

Thank you.

ver_mathstats said:

## Homework Statement

Consider the below vector x, which you can copy and paste directly into Matlab. The vector contains the final grades for each student in a large linear algebra course.

x = [59 70 83 89 72 70 54 55 68 61 61 58 75 54 65 55 62 39 43 53 67 100 60 100 61 100 77 60 69 91 <snip> 53 66 82 60 82 71 79 71 82 77 56 66]'

(a) What proportion of students failed the course (i.e., got a mark of less than 50)?
(Note that since the answer is a proportion, it must be between 0 and 1.)

(b) What proportion of students got a B-, B, or B+ (i.e., got a mark between 70 and 79, inclusive)?

2. Homework Equations

## The Attempt at a Solution

For question (a) I did failCount=sum(x<50) and I got 61 and the proportion I got was 0.0606. Is this correct?
That's close to what I get, which is 0.060576.
ver_mathstats said:
For question (b) I did between= x(x>=70 & x<=79) to obtain all of the grades from 70 to 79 but now I am unsure of how to get the proportion, I did gradeRatio= between/numel(x) however it gave me several different decimal points, I am unsure of where I went wrong?
Count the number of B students, and to get a proportion, divide by the number of grades. I count 1007 grades in all. For the B students, I get a proportion a little larger than .25.

Show us your MATLAB code, and I'm sure we can figure out where you're going wrong.

Mark44 said:
That's close to what I get, which is 0.060576.
Count the number of B students, and to get a proportion, divide by the number of grades. I count 1007 grades in all.

Show us your MATLAB code, and I'm sure we can figure out where you're going wrong.
Okay I see for the first one.

My code for question (b) is:
>> x = [59 70 83 89 72 70 54 55 68 61 61 58 75 54 65 55 62 39 43 53 67 100 60 100 61 100 77 60 69 91 82 71 72 70 71 75 72 60 85 83 62 70 80 73 54 34 76 62 63 72 65 53 69 86 59 50 56 69 66 60 59 38 84 87 62 45 97 43 65 51 79 89 64 65 54 79 32 78 62 68 79 70 66 74 73 62 45 93 68 90 76 79 76 82 44 90 76 74 65 71 56 90 68 70 62 75 88 75 96 58 84 88 59 57 75 61 75 72 69 70 69 70 81 65 70 73 97 84 59 67 87 51 67 69 59 82 55 84 73 100 91 82 58 62 75 76 55 63 71 76 66 61 57 85 72 69 82 77 58 64 86 79 57 71 66 62 67 53 35 70 78 97 54 53 56 70 83 70 60 75 82 60 78 64 71 59 72 84 82 94 64 73 57 74 74 67 94 55 77 59 58 59 68 94 80 61 86 76 59 50 65 72 61 61 78 81 91 76 58 78 63 55 54 79 86 61 61 66 63 22 45 58 63 83 61 70 87 88 78 78 72 85 67 92 83 84 73 69 44 59 69 69 84 50 61 82 60 79 56 65 76 88 93 59 65 77 70 83 71 57 99 82 81 65 68 70 76 100 68 65 83 59 40 64 77 73 64 61 57 76 50 91 69 59 72 69 88 54 73 62 58 74 71 72 69 66 69 67 61 85 78 73 85 62 83 63 62 81 72 54 100 68 67 56 83 80 60 64 63 71 70 87 38 73 61 81 75 84 75 70 75 71 77 77 64 75 65 63 54 71 60 68 65 58 56 66 61 83 95 53 66 85 58 65 72 87 68 62 72 79 78 80 75 97 63 74 77 89 59 74 59 58 66 64 68 71 66 49 58 73 62 72 63 57 58 53 68 64 69 89 59 70 70 83 53 71 28 70 49 87 67 69 87 50 61 78 67 71 58 85 54 90 95 52 63 56 64 46 71 58 62 73 89 75 54 75 77 74 65 79 67 77 91 70 70 62 90 65 67 68 53 86 71 52 74 75 77 70 90 79 63 76 42 86 89 79 100 80 85 78 82 55 77 42 60 67 62 83 80 61 81 65 62 92 63 77 66 57 69 65 67 62 85 56 79 70 77 76 67 52 50 70 70 67 61 61 85 67 77 67 53 75 54 61 94 100 53 67 60 59 73 68 51 58 65 80 69 76 53 75 76 58 46 75 63 56 79 64 56 87 63 58 76 72 84 73 68 64 75 55 81 59 69 60 52 53 62 84 71 55 91 85 42 94 76 59 73 78 61 46 77 69 82 63 76 77 67 38 65 67 84 71 69 77 61 71 53 68 86 77 72 77 71 64 94 49 58 59 47 85 55 68 66 76 78 68 61 83 84 46 81 38 36 56 50 78 97 83 84 79 48 98 96 51 41 66 45 80 60 76 84 65 98 74 54 58 60 42 60 71 55 71 84 81 72 82 69 68 70 85 61 94 70 62 87 56 53 70 65 60 65 68 99 89 57 82 67 100 68 69 57 47 63 33 73 54 69 67 78 78 63 68 53 48 41 68 89 73 58 64 63 60 68 79 78 62 64 62 70 67 50 89 62 48 91 74 71 82 76 69 59 81 70 73 60 84 60 74 62 57 74 63 43 51 81 80 62 67 69 64 48 81 42 74 49 77 73 82 74 68 61 57 94 69 54 64 57 63 64 85 82 71 80 66 72 67 61 67 77 86 56 61 68 71 55 59 85 62 64 61 71 89 52 54 65 72 73 76 42 81 91 79 72 65 74 69 66 77 77 78 73 67 65 76 69 64 68 61 82 52 84 44 77 75 86 63 57 56 76 72 87 72 77 55 88 75 83 69 57 96 55 78 76 61 71 56 73 95 74 46 56 74 54 88 61 86 61 51 64 66 85 83 75 30 82 66 60 68 67 78 75 69 55 96 70 70 51 75 74 71 73 76 88 81 57 69 42 74 52 71 98 82 75 79 54 71 55 77 80 69 97 46 49 56 64 51 83 77 47 66 57 73 81 59 78 88 72 58 51 57 76 82 38 53 79 55 78 61 65 40 81 85 81 55 64 83 64 88 64 87 69 67 65 67 46 65 57 47 46 61 57 66 64 69 94 82 50 64 59 79 71 83 87 69 85 65 81 100 61 63 67 56 84 50 61 94 89 73 76 78 62 85 70 47 77 83 52 59 84 80 77 83 38 83 59 87 48 58 77 71 59 48 79 52 83 50 100 57 72 45 84 65 84 72 83 53 66 82 60 82 71 79 71 82 77 56 66]'

x =

59
70
83
89
72
70
54
55
68
61
61
58
75
54
65
55
62
39
43
53
67
100
60
100
61
100
77
60
69
91
82
71
72
70
71
75
72
60
85
83
62
70
80
73
54
34
76
62
63
72
65
53
69
86
59
50
56
69
66
60
59
38
84
87
62
45
97
43
65
51
79
89
64
65
54
79
32
78
62
68
79
70
66
74
73
62
45
93
68
90
76
79
76
82
44
90
76
74
65
71
56
90
68
70
62
75
88
75
96
58
84
88
59
57
75
61
75
72
69
70
69
70
81
65
70
73
97
84
59
67
87
51
67
69
59
82
55
84
73
100
91
82
58
62
75
76
55
63
71
76
66
61
57
85
72
69
82
77
58
64
86
79
57
71
66
62
67
53
35
70
78
97
54
53
56
70
83
70
60
75
82
60
78
64
71
59
72
84
82
94
64
73
57
74
74
67
94
55
77
59
58
59
68
94
80
61
86
76
59
50
65
72
61
61
78
81
91
76
58
78
63
55
54
79
86
61
61
66
63
22
45
58
63
83
61
70
87
88
78
78
72
85
67
92
83
84
73
69
44
59
69
69
84
50
61
82
60
79
56
65
76
88
93
59
65
77
70
83
71
57
99
82
81
65
68
70
76
100
68
65
83
59
40
64
77
73
64
61
57
76
50
91
69
59
72
69
88
54
73
62
58
74
71
72
69
66
69
67
61
85
78
73
85
62
83
63
62
81
72
54
100
68
67
56
83
80
60
64
63
71
70
87
38
73
61
81
75
84
75
70
75
71
77
77
64
75
65
63
54
71
60
68
65
58
56
66
61
83
95
53
66
85
58
65
72
87
68
62
72
79
78
80
75
97
63
74
77
89
59
74
59
58
66
64
68
71
66
49
58
73
62
72
63
57
58
53
68
64
69
89
59
70
70
83
53
71
28
70
49
87
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69
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50
61
78
67
71
58
85
54
90
95
52
63
56
64
46
71
58
62
73
89
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54
75
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65
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77
91
70
70
62
90
65
67
68
53
86
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52
74
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70
90
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63
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42
86
89
79
100
80
85
78
82
55
77
42
60
67
62
83
80
61
81
65
62
92
63
77
66
57
69
65
67
62
85
56
79
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67
52
50
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70
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61
61
85
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53
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61
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100
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62
84
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55
91
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42
94
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59
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61
46
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38
65
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61
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53
68
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64
94
49
58
59
47
85
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68
61
83
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46
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38
36
56
50
78
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51
41
66
45
80
60
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98
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54
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42
60
71
55
71
84
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72
82
69
68
70
85
61
94
70
62
87
56
53
70
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60
65
68
99
89
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67
100
68
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57
47
63
33
73
54
69
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78
78
63
68
53
48
41
68
89
73
58
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89
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83
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96
55
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61
71
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46
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54
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61
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51
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30
82
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60
68
67
78
75
69
55
96
70
70
51
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57
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42
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97
46
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64
51
83
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47
66
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73
81
59
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72
58
51
57
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82
38
53
79
55
78
61
65
40
81
85
81
55
64
83
64
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64
87
69
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65
67
46
65
57
47
46
61
57
66
64
69
94
82
50
64
59
79
71
83
87
69
85
65
81
100
61
63
67
56
84
50
61
94
89
73
76
78
62
85
70
47
77
83
52
59
84
80
77
83
38
83
59
87
48
58
77
71
59
48
79
52
83
50
100
57
72
45
84
65
84
72
83
53
66
82
60
82
71
79
71
82
77
56
66

>> between= x(x>=70 & x<=79)

between =

70
72
70
75
77
71
72
70
71
75
72
70
73
76
72
79
79
78
79
70
74
73
76
79
76
76
74
71
70
75
75
75
75
72
70
70
70
73
73
75
76
71
76
72
77
79
71
70
78
70
70
75
78
71
72
73
74
74
77
76
72
78
76
78
79
70
78
78
72
73
79
76
77
70
71
70
76
77
73
76
72
73
74
71
72
78
73
72
71
70
73
75
75
70
75
71
77
77
75
71
72
72
79
78
75
74
77
74
71
73
72
70
70
71
70
78
71
71
73
75
75
77
74
79
77
70
70
71
74
75
77
70
79
76
79
78
77
77
79
70
77
76
70
70
77
75
73
76
75
76
75
79
76
72
73
75
71
76
73
78
77
76
77
71
77
71
77
72
77
71
76
78
78
79
76
74
71
71
72
70
70
70
73
78
78
73
79
78
70
74
71
76
70
73
74
74
74
77
73
74
71
72
77
71
71
72
73
76
79
72
74
77
77
78
73
76
77
75
76
72
72
77
75
78
76
71
73
74
74
75
78
75
70
70
75
74
71
73
76
74
71
75
79
71
77
77
73
78
72
76
79
78
79
71
73
76
78
70
77
77
77
71
79
72
72
71
79
71
77

0.0695
0.0715
0.0695
0.0745
0.0765
0.0705
0.0715
0.0695
0.0705
0.0745
0.0715
0.0695
0.0725
0.0755
0.0715
0.0785
0.0785
0.0775
0.0785
0.0695
0.0735
0.0725
0.0755
0.0785
0.0755
0.0755
0.0735
0.0705
0.0695
0.0745
0.0745
0.0745
0.0745
0.0715
0.0695
0.0695
0.0695
0.0725
0.0725
0.0745
0.0755
0.0705
0.0755
0.0715
0.0765
0.0785
0.0705
0.0695
0.0775
0.0695
0.0695
0.0745
0.0775
0.0705
0.0715
0.0725
0.0735
0.0735
0.0765
0.0755
0.0715
0.0775
0.0755
0.0775
0.0785
0.0695
0.0775
0.0775
0.0715
0.0725
0.0785
0.0755
0.0765
0.0695
0.0705
0.0695
0.0755
0.0765
0.0725
0.0755
0.0715
0.0725
0.0735
0.0705
0.0715
0.0775
0.0725
0.0715
0.0705
0.0695
0.0725
0.0745
0.0745
0.0695
0.0745
0.0705
0.0765
0.0765
0.0745
0.0705
0.0715
0.0715
0.0785
0.0775
0.0745
0.0735
0.0765
0.0735
0.0705
0.0725
0.0715
0.0695
0.0695
0.0705
0.0695
0.0775
0.0705
0.0705
0.0725
0.0745
0.0745
0.0765
0.0735
0.0785
0.0765
0.0695
0.0695
0.0705
0.0735
0.0745
0.0765
0.0695
0.0785
0.0755
0.0785
0.0775
0.0765
0.0765
0.0785
0.0695
0.0765
0.0755
0.0695
0.0695
0.0765
0.0745
0.0725
0.0755
0.0745
0.0755
0.0745
0.0785
0.0755
0.0715
0.0725
0.0745
0.0705
0.0755
0.0725
0.0775
0.0765
0.0755
0.0765
0.0705
0.0765
0.0705
0.0765
0.0715
0.0765
0.0705
0.0755
0.0775
0.0775
0.0785
0.0755
0.0735
0.0705
0.0705
0.0715
0.0695
0.0695
0.0695
0.0725
0.0775
0.0775
0.0725
0.0785
0.0775
0.0695
0.0735
0.0705
0.0755
0.0695
0.0725
0.0735
0.0735
0.0735
0.0765
0.0725
0.0735
0.0705
0.0715
0.0765
0.0705
0.0705
0.0715
0.0725
0.0755
0.0785
0.0715
0.0735
0.0765
0.0765
0.0775
0.0725
0.0755
0.0765
0.0745
0.0755
0.0715
0.0715
0.0765
0.0745
0.0775
0.0755
0.0705
0.0725
0.0735
0.0735
0.0745
0.0775
0.0745
0.0695
0.0695
0.0745
0.0735
0.0705
0.0725
0.0755
0.0735
0.0705
0.0745
0.0785
0.0705
0.0765
0.0765
0.0725
0.0775
0.0715
0.0755
0.0785
0.0775
0.0785
0.0705
0.0725
0.0755
0.0775
0.0695
0.0765
0.0765
0.0765
0.0705
0.0785
0.0715
0.0715
0.0705
0.0785
0.0705
0.0765

19.8272

0.0504

Here are somethings that I tested for question (b).

Mark44 said:
That's close to what I get, which is 0.060576.
Count the number of B students, and to get a proportion, divide by the number of grades. I count 1007 grades in all. For the B students, I get a proportion a little larger than .25.

Show us your MATLAB code, and I'm sure we can figure out where you're going wrong.
I know where I went wrong now, I recognize now that I do not take the sum but the length of both. So for part (b) I got the answer 0.2671.

## 1. What is the grading scale for the linear algebra course?

The grading scale for the linear algebra course is typically determined by the instructor and can vary from course to course. However, a common scale is A (90-100%), B (80-89%), C (70-79%), D (60-69%), and F (below 60%). Some courses may also include plus and minus grades within each letter grade.

## 2. How are final grades calculated in the linear algebra course?

Final grades in the linear algebra course are typically determined by a combination of factors, including exams, quizzes, homework assignments, and class participation. The weight of each factor may vary depending on the instructor, but exams and quizzes often carry the most weight in determining a student's final grade.

## 3. Is there a curve for the final grades in the linear algebra course?

Whether or not there is a curve for final grades in the linear algebra course is at the discretion of the instructor. Some may choose to curve grades to adjust for difficulty of exams or to ensure a certain percentage of students receive passing grades. It is important to check with your instructor to see if there will be a curve for your specific course.

## 4. How can I improve my final grade in the linear algebra course?

To improve your final grade in the linear algebra course, it is important to stay on top of assignments and seek help when needed. Attend office hours, form study groups, and practice problems regularly to strengthen your understanding of the material. It is also important to communicate with your instructor if you are struggling or have extenuating circumstances that may affect your grade.

## 5. When will final grades be posted for the linear algebra course?

The timeline for when final grades will be posted for the linear algebra course may vary depending on the institution and the instructor. Typically, grades are posted within a few days to a week after the final exam. It is important to check with your instructor or the course syllabus for the specific timeline for your course.

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