# find the percentile ranks of the data values?

My data set is..

5, 15, 25, 29, 34, 37, 43, 45, 47, 47, 49, 51, 52, 57, 61, 63, 69, 71, 79, 84, 92, 101, 117

What is the percentile rank of the data values 37, 47 and 63?

Relevance
• The formula that is most often used is:

P = (c + 0.5r) / N x 100

c : count of scores that are *lower*

r : number of scores that have the same value as the score of interest

N : total number of scores

37:

c : lower scores (5)

r : repeated (1)

N : total scores (23)

= (5 + 1*0.5)/23 * 100

= 5.5/23 * 100

≈ 23.9

24th percentile

47:

c : lower scores (8)

r : repeated (2)

N : total scores (23)

= (8 + 2*0.5) / 23 * 100

= 9/23 * 100

≈ 39.1

39th percentile

63:

c : lower scores (15)

r : repeated (1)

N : total scores (23)

= (15 + 1*0.5) / 23 * 100

= 15.5 / 23 * 100

≈ 67.4

67th percentile

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• There are 23 data points.

37 is the 6th data point, so it is the:

6/23 = 0.2609

26th percentile

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