Question

QUESTION 5..... [1.5 marks]

The following data set represents the score distribution for the Final Exam in MATH 146:
55, 56, 57, 58, 59, 60, 60, 61, 63, 65, 69, 71, 78, 78, 79, 79, 82, 82, 83, 83
Find the 85th percentile.
Solution. Please write your detailed solution here:

Answer 1

82

steps

put data in numerical order

55, 56, 57, 58, 59, 60, 60, 61, 63, 65, 69, 71, 78, 78, 79, 79, 82, 82, 83, 83

there are 20 numbers = 20

85 is the percentile = p

percentile rank formula

PR = (p/100) * (n + 1)

PR = (85/100) * (20 + 1) = 17.85

round up 17.85 to 18

it's the 18th number which is

82

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