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To calculate the 60th percentile for the given waiting times dataTo calculate the 60th percentile for the given waiting times 

The data set is: 
13, 9, 5, 15, 4, 7, 9, 11, 14, 2, 6.

### Step 1: Arrange the data in ascending order
Sorted dataTo calculate the 60th percentile for the given waiting times 

The data set is: 
13, 9, 5, 15, 4, 7, 9, 11, 14, 2, 6.

### Step 1: Arrange the data in ascending order
Sorted 
2, 4, 5, 6, 7, 9, 9, 11, 13, 14, 15.

### Step 2: Find the position of the 60th percentile
To find the 60th percentile, use the formula:
\[
P = \frac{n+1}{100} \times k
\]
Where:
- \( n \) is the number of data points (11 in this case),
- \( k \) is the percentile you want (60 in this case).

Substituting the values:
\[
P = \frac{11+1}{100} \times 60 = \frac{12}{100} \times 60 = 7.2
\]

### Step 3: Interpret the position
The position is 7.2, which means the 60th percentile is between the 7th and 8th values in the sorted list. 

From the sorted dataTo calculate the 60th percentile for the given waiting times 

The data set is: 
13, 9, 5, 15, 4, 7, 9, 11, 14, 2, 6.

### Step 1: Arrange the data in ascending order
Sorted 
2, 4, 5, 6, 7, 9, 9, 11, 13, 14, 15.

### Step 2: Find the position of the 60th percentile
To find the 60th percentile, use the formula:
\[
P = \frac{n+1}{100} \times k
\]
Where:
- \( n \) is the number of data points (11 in this case),
- \( k \) is the percentile you want (60 in this case).

Substituting the values:
\[
P = \frac{11+1}{100} \times 60 = \frac{12}{100} \times 60 = 7.2
\]

### Step 3: Interpret the position
The position is 7.2, which means the 60th percentile is between the 7th and 8th values in the sorted list. 

From the sorted 
- 7th value: 9
- 8th value: 11.

To approximate, take a weighted average:
\[
\text{60th percentile} = 9 + 0.2 \times (11 - 9) = 9 + 0.2 \times 2 = 9.4
\]

Thus, the approximate value of the 60th percentile is **9**, so the correct response is **9**.

Would you like more details on this? Let me know if you have any questions.

Here are 5 questions for further practice:
1. What is the 50th percentile (median) of the given data set?
2. How do you find the 75th percentile of a data set?
3. Can the 40th percentile be less than the median? Why or why not?
4. What happens to the percentile values if you add a larger number to this data set?
5. What is the difference between a percentile and a quartile?

**Tip**: Percentiles help you understand how a particular value compares to the rest of the data, making them useful for ranking and comparison.

The waiting times (in minutes) for 11 customers at a supermarket are 13, 9, 5, 15, 4, 7, 9, 11, 14, 2, and 6. The approximate value of the 60th percentile for these data is:

Learn how to calculate the 60th percentile for a data set of waiting times at a supermarket. This problem involves arranging data in ascending order and using the percentile formula. Suitable for high school students.

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