Find the value of the 90th percentile of the following set of data.

18, 9, 7, 5, 11, 7, 17, 20, 19, 2, 17, 12, 5, 1, 13, 12, 11, 15, 16, 20

The 90th percentile of the data is the value which is greater than 90% of the data. Arranging the values first in ascending order:

1, 2, 5, 5, 7, 7, 9, 11, 11, 12, 12, 13, 15, 16, 17, 17, 18, 19, 20, 20
The data has 20 elements, so 90% of the data consists of .90(20) = 18. The 90th percentile must be the 19th element. Therefore, 20.

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