This section discusses percentiles, which are useful for describing relative standings of observations in a dataset.
Questions
Question 1 out of 6.
For the scores 3, 5, 7, 9, 12, 21, 25, 30, calculate the 25th percentile based on "Definition 1".
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Question 2 out of 6.
For the scores 3, 5, 7, 9, 12, 21, 25, 30, calculate the 25th percentile based on "Definition 2".
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Question 3 out of 6.
For the scores 3, 5, 7, 9, 12, 21, 25, 30, calculate the 25th percentile based on "Definition 3".
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Question 4 out of 6.
For the scores 3, 5, 7, 9, 12, 21, 25, 30, calculate the 80th percentile based on "Definition 3".
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Question 5 out of 6.
What is the 75th percentile of \(\mathrm{Y}\) based on "Definition 3"?
\(\mathrm{Y}\)
9.99
6.43
8.04
10.18
12.37
11.58
7.04
12.23
11.65
11.32
14.16
7.85
8.41
13.28
12.36
15.64
8.85
7.82
8.17
9.25
9.61
8.63
10.81
5.40
8.96
10.94
8.94
6.52
7.74
10.97
7.53
9.17
10.19
10.73
10.17
11.19
8.97
7.87
11.75
5.00
10.71
9.00
10.94
Question 6 out of 6.
What is the 25th percentile of \(\mathrm{Y}\) based on "Definition 3"?
\(\mathrm{Y}\)
9.05
9.38
9.81
11.16
9.46
10.00
10.85
9.86
9.29
11.04
10.21
8.83
11.38
14.33
9.05
7.88
10.66
10.90
10.74
9.78
11.79
11.41
12.55
13.59
9.99
12.63
12.64
7.63
9.79
7.00
7.91
9.85
13.31
8.99
10.13
12.57
12.91
6.59
12.39
9.50
8.72
8.14
13.79