Let's analyze the given data set and calculate the required statistical measures:

Data: 6, 9, 10, 11, 12, 13, 14, 15, 16, 16, 16, 18

1. Minimum (Min): The smallest value in the data set. $\text{Min} = 6$

2. First Quartile (Q1): The median of the first half of the data set (excluding the median if the number of data points is odd). Data set (first half): 6, 9, 10, 11, 12, 13 $Q1 = \frac{10 + 11}{2} = 10.5$

3. Median (Med): The middle value of the data set. Data set: 6, 9, 10, 11, 12, 13, 14, 15, 16, 16, 16, 18 $\text{Med} = \frac{13 + 14}{2} = 13.5$

4. Third Quartile (Q3): The median of the second half of the data set (excluding the median if the number of data points is odd). Data set (second half): 14, 15, 16, 16, 16, 18 $Q3 = \frac{16 + 16}{2} = 16$

5. Maximum (Max): The largest value in the data set. $\text{Max} = 18$

Now, let's create the box plot using these measures:

• The box plot will have a box extending from Q1 (10.5) to Q3 (16).
• The median line will be at 13.5.
• The whiskers will extend from the minimum value (6) to the maximum value (18).

Here is the filled information for the measures:

• Min: 6
• Q1: 10.5
• Med: 13.5
• Q3: 16
• Max: 18

Would you like a detailed explanation of any specific part of this analysis? Also, here are some related questions you might find interesting:

1. How is the interquartile range (IQR) calculated and what does it represent?
2. What is the significance of outliers in a box plot?
3. How can we use a box plot to compare multiple data sets?
4. What are the steps to create a box plot manually?
5. How do different types of distributions affect the shape of a box plot?

Tip: Understanding how to interpret a box plot can help you quickly grasp the spread and skewness of a data set.