**Traffic Violations**

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

22 19 25 24 18 15 9 12 16 20

Step-by-Step

Learn more on how do we answer questions.

Arrange the data in order from lowest to highest.

9 12 15 16 18 19 20 22 24 25

Then substitute into the formula.

Percentile = \frac{(\text{number of values below }X) + 0.5}{\text{total number of values}} · 100

Since there are 3 numbers below the value of 16, the solution is

Percentile = \frac{3 + 0.5}{10} · 100 = 35th percentile

Hence, the value of 16 is higher than 35% of the data values.

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