Subjects statistics

Percentile Wait Time 23Dc74

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1. **State the problem:** We need to find the percentile corresponding to a wait time of 11 minutes in a data set of wait times at DMV locations. 2. **Understanding percentiles:** The percentile rank of a value is the percentage of data points in the data set that are less than or equal to that value. 3. **Formula for percentile rank:** $$\text{Percentile Rank} = \frac{\text{Number of values } \leq x}{\text{Total number of values}} \times 100$$ 4. **Apply the formula:** - Count how many wait times are less than or equal to 11 minutes. - Divide by the total number of wait times. - Multiply by 100 to get the percentile. 5. **Example:** Suppose the data set has 50 wait times, and 30 of them are 11 minutes or less. 6. Calculate: $$\text{Percentile Rank} = \frac{30}{50} \times 100 = 60$$ 7. **Interpretation:** A wait time of 11 minutes corresponds to the 60th percentile, meaning 60% of wait times are 11 minutes or less. **Note:** To find the exact percentile, you need the actual data or frequency counts of wait times.