Question

the data set represents wait times (in minutes) for various services at a states department of motor vehicles locations. find the percentile that corresponds to a wait time of 3 minutes
16 4 10 3 10 26 5 3 4 7 6 10 9 10 20 18
3 20 10 13 14 11 14 17 4 27 4 8 4 3 26 18
21 1 3 3 5 5 6 10 1 22 23 10 6 7 2 1
a wait time of 3 minutes corresponds to about a percentile of
(round to the nearest whole number as needed )

Explanation:

Step1: Count total data points

Count all values: there are 50 data points.

Step2: Count values ≤ 3

Count wait times ≤ 3 minutes: 1,1,1,2,3,3,3,3,3,3 → 10 values.

Step3: Calculate percentile

Use percentile formula: $\text{Percentile} = \frac{\text{Number of values } \leq 3}{\text{Total number of values}} \times 100$
$\text{Percentile} = \frac{10}{50} \times 100 = 20$

Answer:

20