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

Data: 5, 6, 6, 8, 10, 10, 13, 14, 14, 15, 17, 18, 19

1. Minimum (Min): The smallest value in the data set. $\text{Min} = 5$

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): 5, 6, 6, 8, 10, 10, 13 $Q1 = 6$

3. Median (Med): The middle value of the data set. Data set: 5, 6, 6, 8, 10, 10, 13, 14, 14, 15, 17, 18, 19 $\text{Med} = 13$

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, 14, 15, 17, 18, 19 $Q3 = 16$

5. Maximum (Max): The largest value in the data set. $\text{Max} = 19$

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

• The box plot will have a box extending from Q1 (6) to Q3 (16).
• The median line will be at 13.
• The whiskers will extend from the minimum value (5) to the maximum value (19).

Here is the filled information for the measures:

• Min: 5
• Q1: 6
• Med: 13
• Q3: 16
• Max: 19

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: When interpreting a box plot, pay close attention to the length of the whiskers and the size of the box. This can give you insights into the variability and skewness of the data.