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
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 6 6 2 4 14 15 16 4 19

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

List values ≤3: 3, 1, 3, 3, 3, 1, 2, 1, 2. Total = 9.

Step3: Calculate percentile

Use percentile formula: $\text{Percentile} = \frac{\text{Number of values } \leq 3}{\text{Total number of values}} \times 100$
$\text{Percentile} = \frac{9}{50} \times 100 = 18$

Answer:

18