Number  Gender Exam 1 Exam 2 Exam 3 Homework Lab Number grade Letter grade Z-score Absolute z-score  1 0 61 94 76 94 87 82.4 B 0.18 0.18 2 0 99 97 90 100 89 95 A 1.38 1.38 3 0 64 76 69 88 87 76.8 C -0.36 0.36 4 0 77 82 86 98 94 87.4 B 0.66 0.66 5 0 70 89 81 93 97 86 B 0.52 0.52 6 0 67 62 65 60 90 68.8 D -1.13 1.13 7 0 87 83 81 85 68 80.8 B 0.02 0.02 8 0 74 88 65 49 90 73.2 C -0.71 0.71 9 0 91 97 87 81 94 90 A 0.90 0.90 10 0 94 87 77 90 67 83 B 0.23 0.23 11 0 47 72 54 59 63 59 F -2.07 2.07 12 0 81 64 78 84 73 76 C -0.44 0.44 13 0 87 90 81 93 80 86.2 B 0.54 0.54 14 0 96 100 84 97 84 92.2 A 1.12 1.12 15 0 80 76 90 85 85 83.2 B 0.25 0.25 16 0 64 51 69 74 78 67.2 D -1.28 1.28 17 0 70 86 84 77 75 78.4 C -0.21 0.21 18 0 80 93 98 95 98 92.8 A 1.17 1.17 19 0 88 83 83 90 84 85.6 B 0.48 0.48 20 0 52 46 62 70 59 57.8 F -2.19 2.19 21 0 97 83 83 85 98 89.2 B 0.83 0.83 22 1 80 74 90 83 65 78.4 C -0.21 0.21 23 1 86 81 72 85 97 84.2 B 0.35 0.35 24 1 88 99 91 94 98 94 A 1.29 1.29 25 1 70 70 71 80 83 74.8 C -0.55 0.55 26 1 81 93 88 83 95 88 B 0.71 0.71 27 1 83 70 75 81 76 77 C -0.34 0.34 28 1 49 55 60 60 71 59 F -2.07 2.07 29 1 77 82 78 67 82 77.2 C -0.32 0.32 30 1 95 87 100 91 95 93.6 A 1.25 1.25   Percentiles When looking at the whole sample, what value corresponds to the 70th percentile for the Homework variable? What does scoring in the 70th percentile mean?   Z-Scores How many Number Grades have an absolute Z-score of 2 or higher? What Letter Grade coincides with having a Z-score of -2 or lower?

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Number  Gender Exam 1 Exam 2 Exam 3 Homework Lab Number grade Letter grade Z-score Absolute z-score 
1 0 61 94 76 94 87 82.4 B 0.18 0.18
2 0 99 97 90 100 89 95 A 1.38 1.38
3 0 64 76 69 88 87 76.8 C -0.36 0.36
4 0 77 82 86 98 94 87.4 B 0.66 0.66
5 0 70 89 81 93 97 86 B 0.52 0.52
6 0 67 62 65 60 90 68.8 D -1.13 1.13
7 0 87 83 81 85 68 80.8 B 0.02 0.02
8 0 74 88 65 49 90 73.2 C -0.71 0.71
9 0 91 97 87 81 94 90 A 0.90 0.90
10 0 94 87 77 90 67 83 B 0.23 0.23
11 0 47 72 54 59 63 59 F -2.07 2.07
12 0 81 64 78 84 73 76 C -0.44 0.44
13 0 87 90 81 93 80 86.2 B 0.54 0.54
14 0 96 100 84 97 84 92.2 A 1.12 1.12
15 0 80 76 90 85 85 83.2 B 0.25 0.25
16 0 64 51 69 74 78 67.2 D -1.28 1.28
17 0 70 86 84 77 75 78.4 C -0.21 0.21
18 0 80 93 98 95 98 92.8 A 1.17 1.17
19 0 88 83 83 90 84 85.6 B 0.48 0.48
20 0 52 46 62 70 59 57.8 F -2.19 2.19
21 0 97 83 83 85 98 89.2 B 0.83 0.83
22 1 80 74 90 83 65 78.4 C -0.21 0.21
23 1 86 81 72 85 97 84.2 B 0.35 0.35
24 1 88 99 91 94 98 94 A 1.29 1.29
25 1 70 70 71 80 83 74.8 C -0.55 0.55
26 1 81 93 88 83 95 88 B 0.71 0.71
27 1 83 70 75 81 76 77 C -0.34 0.34
28 1 49 55 60 60 71 59 F -2.07 2.07
29 1 77 82 78 67 82 77.2 C -0.32 0.32
30 1 95 87 100 91 95 93.6 A 1.25 1.25

 

  1. Percentiles
    • When looking at the whole sample, what value corresponds to the 70th percentile for the Homework variable?
    • What does scoring in the 70th percentile mean?

 

  1. Z-Scores
    • How many Number Grades have an absolute Z-score of 2 or higher?
    • What Letter Grade coincides with having a Z-score of -2 or lower?

 

 

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