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Timelimit: 3 h Find the 34th percentile, P34, from the following data 14 25 50 59 74 88 96 16 28 53 60 79 90 100 21 22 40 42
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Answer #1

The 34th percentile value is 50.66. ( result from excel)

Solution:

Step 1. Arrange the data in ascending order: 14, 16, 21, 22, 23, 25, 28, 40, 42, 43, 50, 53, 56, 57, 58, 59, 60, 64, 65, 70, 74, 79, 81, 82, 83, 88, 90, 92, 93, 94, 96, 100

Step 2. Compute the position of the pth percentile (index i):

i = (p / 100) * n), where p = 34 and n = 32

i = (34 / 100) * 32 = 10.88

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