1. Below are 36 sorted ages of an acting award winner. Find the percentile corre

Question

1. Below are 36 sorted ages of an acting award winner. Find the percentile corresponding to age 67 using the method presented in the textbook.

17 18 21 21 24 28 29 29 32 33 33 36 39 41 42 45 45 48 50 50 51 55 59 60 60 61 61 62 67 67 74 75 75 77 78 78

percentile of value 67 = ? (Round to the nearest integer as needed.)

2. Below are 36 sorted ages of an acting award winner. Find P80 using the method presented in the textbook

17 18 19 20 20 20 20 22 24 24 26 27 29 40 40 42 43 44 45 46 48 48 48 51 51 51 54 59 63 66 67 68 68 71 72 76

P80 =?

Explanation / Answer

1. In the sorted list, 67 occupies positions 29 and 30 of 36 items. Using the average of 29.5 and considering 36 items, that means that an age of 67 is greater than (29.5)/36 = 81.94% of the values. This is the 82th percentile

2. The 80th percentile will have 36*.80 = 28.8 data values below it.

So the 29th data value is P80 = 67

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