Percentile rank

1. By
Dr. Abhishek Srivastava
Percentile Rank

2. GAUTAM I 2
• Percentile rank is the number representing the percentage of the total number of cases
lying below the given scores.
• If in a class of 50 students. A student (say student ‘X’) secured a score of 70 on
achievement test. There are 45 other students whose scores falls below the score 70.
Therefore 45 out of 50 (45/50 x 100 = 90%) student lie below the score 45.
• Hence, 45 will be termed as 90th percentile of the above data.
• The position student ‘X’ enjoys in relation to the other students may be seen by the fact
that the score 45 out of 50 or 90% of the students falls below the score of student ‘X’. Which
means student ‘X’ is better than 90% of students in the calss.
• From the above we can conclude that score 70 secured by student ‘X’ has a percentile
rank of 90.
PERCENTILE RANK
Thursday, 30 July 2020 UUDTE I UTKAL UNIVERSITY

3. PERCENTILE RANK ungrouped Data

4. 4
• PR=Percentile rank
• F=Cumulative frequency below the interval containing score X X=Score
for which we want to calculate percentile rank L=Actual lower limit of the
interval containing X
• i=Size of the class interval
• f=Frequency of the interval containing X
• N=Total number of cases in the given frequency distribution
PERCENTILE RANK
Scores f
70-79 3
60-69 2
50-59 2
40-49 3
30-39 5
20-29 4
10-19 3
0-9 2
N=24
Calculation of Percentile from grouped data
Calculate the percentile rank of score 22
𝑃𝑅 =
100 𝑋 − 𝐿
I
𝑁 𝑖
𝐹 + 𝑓

5. 5
• PR 22 = ?
PERCENTILE RANK
F=5
X=22
L=19.5
i=10
f=4
N=24
𝑃𝑅 = 𝐹 +
100 𝑋 − 𝐿
I
𝑁 𝑖
𝑓
=

6. • PR 22 =100/24[5+(22-19.5)x4/10]
=100/24[5+(2.5)x4/10]
=4.17[5+10/10]
=4.17[5+1]
=4.17[6]
PR22 =25

7. Thanks
IGAUTAM 7
I