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Question: Find the percentile rank for a weight of 92 pounds if the weights (in pounds) of 6 students are given: 97, 78, 86, 82, 88, 92 What value corresponds to the 60th percentile? A ) 25th percentile, 86 B ) 75th percentile, 88 C ) 75th percentile, 86 D ) 75th percentile, 90 Steps to derive 1 Write the weights of students in increasing order. 78, 82, 86, 88, 92, 972 Percentile rank for a weight of 92, p = (number of students below 92)+0.5 Total number of students × 100%3 Since, there are 4 values below a weight of 92 pounds, the percentile is 4+0.5 6 × 100% = 75th percentile.4 So, the student whose weight is 92 pounds has a weight more than the weight of 75% of the students.5 Position of the weight in order corresponds to the 60th percentile, c = n . p 1 0 0 , where n is the number of students, p the percentile.6 c = 6×60 100 = 3.6 ≅ 4, rounded to the next whole number.7 So, the weight corresponding to the 60th percentile is 88 pounds. 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