1. Percentile Rank
12 out of 20
(100)*12/20
(100)*.60
PR=C%b+(X-L/i)%
C%b cumulative percentage (numerically) below the lower limit of the critical interval
X is the raw score
L is the lower limit of the critical interval
i is the class interval size
% is the percentage within the critical value

2. Class Interval f cf % c% 95-99 3 71 4.23 100 90-94 2 68 2.82 95.77
PR=C%b+(X-L/i)%
Class Interval f cf % c%
95-99 3 71
4.23
100
90-94 2 68
2.82
95.77
85-89 4 66
5.63
92.96
80-84 7 62
9.86
87.32
75-79 12 55
16.9
77.46
70-74 17 43
23.94
60.56
65-69 26
16.90
36.62
60-64 5 14
7.04
19.72
55-59 9
12.68
50-54
Total
100.00
C%b
12.68 62 X L
59.5 i 5 %
7.04
12.68+( /5)*7.04
12.68+(2.5/5)*7.04
12.68+(.50)*7.04
16.2%

3. Class Interval f cf % c% 95-99 3 71 4.23 100 90-94 2 68 2.82 95.77
Find the percentile rank for the score 88
PR=C%b+(X-L/i)%
Class Interval f cf % c%
95-99 3 71
4.23
100
90-94 2 68
2.82
95.77
85-89 4 66
5.63
92.96
80-84 7 62
9.86
87.32
75-79 12 55
16.9
77.46
70-74 17 43
23.94
60.56
65-69 26
16.90
36.62
60-64 5 14
7.04
19.72
55-59 9
12.68
50-54
Total
100.00
C%b
87.92 88 X L
84.5 i 5 %
5.63
87.32+( /5)*5.63
87.32+(3.5/5)*5.63
87.32+(.70)*5.63
91.26%