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Percentile Ranking Calculation and Interpretation, Lecture notes of Statistics for Psychologists

University of North BengalStatistics for Psychologists

notes for assignment and test preparation

Typology: Lecture notes

2018/2019

Uploaded on 10/15/2021

chitra9
chitra9 🇮🇳

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Arranging the data into descending order:
R 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
S 44 42 40 37 36 35 32 29 28 25 22 21 20 17 15 13 12 10 9 8
Clearly, the 14th rank has the score of 17, R= 14 and N= 20
Thus, Percentile ranking,
PR=100 −100 R−50
N
= 100 – 100x14 – 50/ 20
= 100 – 1400 – 50/50
=100 – 1350/20
=100 – 67.5
=32.5th
pf3

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Arranging the data into descending order: R 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 S 44 42 40 37 36 35 32 29 28 25 22 21 20 17 15 13 12 10 9 8 Clearly, the 14th^ rank has the score of 17, R= 14 and N= 20 Thus, Percentile ranking, PR =^100 −

100 R − 50

N

= 100 – 100x14 – 50/ 20 = 100 – 1400 – 50/ =100 – 1350/ =100 – 67. =32.5th

PR =

N [

F +(

X − L

i )

f

]

Here, F = 5 X = 22 L = 19. i = 10 f = 4 N = 24 PR =

24 [

]

PR =

24 [

]

PR =

PR =

× 6

Scores f cf 70 - 79 3 24 60 - 69 2 21 50 - 59 2 19 40 - 49 3 17 30 - 39 5 14 20 - 29 4 9 10 - 19 3 5 0 - 9 2 2