Percentiles

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