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

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+(62-59.5/5)*7.04 12.68+(2.5/5)*7.04 12.68+(.50)*7.04 12.68+3.52 16.2%

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+(88-84.5/5)*5.63 87.32+(3.5/5)*5.63 87.32+(.70)*5.63 87.32+3.94 91.26%