The number of traffic violations recorded by a police department for a 10-day period is shown. Find the percentile rank of the data value 16.

22

19

25

24

18

15

9

12

16

20

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Step1: 

Arrange the data from lowest to highest

9

12

15

16

18

19

20

22

24

25

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Step 2: 

Count how many data entries are less than your data point

There are 3 data points below 16, namely: 9, 12, and 15

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Step 3:

Plug into formula

\[\text{Percentile}=\left(\text{number of values below }X\right)\cdot\frac{100}{\text{total number of data points}}\]

\[=3\cdot \frac{100}{10}=30^{\text{th}}\text{ percentile}\]