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Algebra

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User Generated
Subject
Algebra
Type
Homework
Rating
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Question 1:
Situation with can result in a positively skewed graph:
If a test conducted in a school has a high difficulty level, then most of the students will have a poor-to-
average performance in it. This bulk of students will form the maximum part of the distribution, towards
the left side of the positively skewed distribution curve.
Question 2
The scores are:
72
70
77
76
90
68
81
86
34
94
71
84
89
67
19
85
75
66
80
94
The statistic the teacher could use include:
Mean:
=
72 + 70 + 77 + 76 + 90 + 68+ 81 + 86 + 34 + 94 + 71 + 84+ 89 + 67 + 19 + 85 + 75 + 66+ 80
20
=
1478
20
=73.9

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Mode:
94, appeared 2 times
Median:
Arrange the data in ascending order:
19, 34, 66, 67, 68, 70, 71, 72, 75, 76, 77, 80, 81, 84, 85, 86, 89, 90, 94, 94
𝑚𝑒𝑑𝑖𝑎𝑛=
76 + 77
2
=76.5
Range:
94 19=75
Highest score = 94
Least score = 19
If 5 points are added to each score, the score will be:
77
75
82
81
95
73
86
91
39
99
76
89
94
72
24
90
80
71
85
99
Mean:
=
77 + 75 + 82 + 81 + 95 + 73+ 86 + 91 + 39 + 99 + 76 + 89+ 94 + 72 + 24 + 90 + 80 + 71+ 85 + 99
20
=
1578
20
78.9

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Question 1: Situation with can result in a positively skewed graph: If a test conducted in a school has a high difficulty level, then most of the students will have a poor-toaverage performance in it. This bulk of students will form the maximum part of the distribution, towards the left side of the positively skewed distribution curve. Question 2 The scores are: 72 70 77 76 90 68 81 86 34 94 71 84 89 67 19 85 75 66 80 94 The statistic the teacher could use include: Mean: = 72 + 70 + 77 + 76 + 90 + 68 + 81 + 86 + 34 + 94 + 71 + 84 + 89 + 67 + 19 + 85 + 75 + 66 + 80 20 = 1478 20 = 73.9 Mode: 94, appeared 2 times Median: Arrange the data in ascending order: 19, 34, 66, 67, 68, 70, 71, 72, 75, 76, 77, 80, 81, 84, 85, 86, 89, 90, 94, 94 𝑚𝑒𝑑𝑖𝑎𝑛 = 76 + 77 = 76.5 2 Range: 94 − 19 = 75 Highest score = 94 Least score = 19 If 5 points are added to e ...
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