Question

here is a data set (n = 117) that has been sorted.
55.7 58.6 60 60.3 62.7 62.8 64.5 65.8 65.9
66 66.5 66.6 66.6 67.4 67.6 67.7 67.9 68.3
68.7 68.7 68.9 69 69 69.5 69.5 69.6 69.6
69.6 69.7 70.3 70.3 70.5 70.5 70.7 70.9 70.9
71.1 71.6 72.4 72.5 72.5 72.6 72.7 73.1 73.3
73.5 73.6 73.9 74.2 74.3 74.6 74.6 74.7 74.9
75.2 75.3 75.6 75.7 76 76.1 76.2 76.3 76.5
76.6 76.7 76.8 77.4 77.4 77.5 77.6 77.7 77.8
77.9 78.2 78.3 78.5 78.6 78.7 78.8 79 79.2
79.3 79.6 80 80.1 80.1 80.2 80.2 80.3 80.6
80.7 81 81.1 81.4 81.4 81.6 81.6 81.7 82.4
83.2 83.4 83.4 83.9 83.9 84.6 85.8 86.5 87.7
88.1 88.1 89.2 90.5 90.8 91.3 91.4 91.9 94.7

find the 6th percentile of the above data set.

Explanation:

Step1: Calculate percentile rank position

$i = \frac{6}{100} \times 117 = 7.02$

Step2: Round up to integer position

$i = 8$ (since 7.02 rounds up to 8)

Step3: Select 8th sorted value

The 8th value in the sorted dataset is 60.3

Answer:

60.3