Question

Q36

Find the 74th percentile, P₇₄,  from the following data

10.5	14	14.1	16.2	18.6
20.2	20.8	21	24.6	26.4
26.5	26.9	28	28.1	28.5
29.3	30.1	30.4	30.6	30.8
31.3	32.4	33.2	33.5	35.3
35.8	36.2	37.7	39.3	40.8
41.1	42.4	42.5	44.1	45.3
46.1	47.5	47.6	47.8	49.1

P₇₄  =

Answer 1

Percentile = 74
Ordered list: [10.514, 14.1, 16.2, 18.6, 20.2, 20.8, 21.0, 24.6, 26.4, 26.5, 26.9, 28.0, 28.1, 28.5, 29.3, 30.1, 30.4, 30.6, 30.8, 31.3, 32.4, 33.2, 33.5, 35.3, 35.8, 36.2, 37.7, 39.3, 40.8, 41.1, 42.4, 42.5, 44.1, 45.3, 46.1, 47.5, 47.6, 47.8, 49.1]

index = percentile * n
index = 0.74 * 39
index = 28.86

The corresponding value to the index in your data set is the 74.0th percentile
74.0th percentile = 40.8

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