Question 3.30: Traffic Violations The number of traffic violations recorded......
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
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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