The data set represents wait times​ (in minutes) for various services at a​ state's Department of Motor Vehicles locations. Find the percentile that corresponds to a wait time of 4
 
minutes.
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
6
6
2
4
14
15
16
4
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Part 1
A wait time of 4
 
minutes corresponds to about a percentile of enter your response here
.

To find the percentile corresponding to a wait time of 4 minutes in this dataset, follow these steps:

1. **Arrange the data in ascending order**.
2. **Count the number of values below 4 minutes**.
3. **Use the percentile formula**:

\[
\text{Percentile} = \frac{\text{Number of values below the given value}}{\text{Total number of values}} \times 100
\]

### Step 1: Sort the data
The sorted data is:

1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 8, 9, 10, 10, 10, 10, 10, 10, 11, 13, 14, 14, 14, 14, 15, 16, 17, 18, 18, 20, 20, 21, 22, 23, 26, 27

### Step 2: Count values below 4
There are 11 values below 4.

### Step 3: Use the formula

\[
\text{Percentile} = \frac{11}{54} \times 100 \approx 20.37
\]

Thus, a wait time of 4 minutes corresponds to approximately the **20th percentile**.

Would you like more details or have any questions?

### Related Questions:
1. How can we calculate the percentile for a different wait time?
2. What does the 50th percentile represent in this data?
3. How do outliers affect percentile calculations?
4. Is there a difference between percentiles and quartiles?
5. How would the calculation change if the dataset had fewer values?

**Tip:** Percentiles divide the data into 100 equal parts, making it easier to understand the relative standing of a particular data point in a dataset.

The data set represents wait times (in minutes) for various services at a state's Department of Motor Vehicles locations. Find the percentile that corresponds to a wait time of 4 minutes.

Learn how to calculate the percentile for a wait time of 4 minutes using a data set from a state's DMV. This problem covers statistical concepts such as percentiles and data sorting, suitable for students in Grades 7-9.

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