The dataset provided is:
$2, 2, 3, 4, 5, 5, 8, 8, 8, 10, 10, 11, 13, 15, 15, 15$.

To create the box-and-whisker plot and fill in the statistical measures, let us compute the following:

Step 1: Sort the data

The data is already sorted:
$2, 2, 3, 4, 5, 5, 8, 8, 8, 10, 10, 11, 13, 15, 15, 15$.

Step 2: Compute Minimum and Maximum

• Minimum: $2$
• Maximum: $15$

Step 3: Find Quartiles

1. Median (Q2):
   There are $16$ data points (even number).
   Median is the average of the 8th and 9th values:
   $\text{Median} = \frac{8 + 8}{2} = 8$.

2. First Quartile (Q1):
   The lower half of the data (before the median) is:
   $2, 2, 3, 4, 5, 5, 8, 8$.
   Median of this subset: $\frac{4 + 5}{2} = 4.5$.
   Q1 = 4.5

3. Third Quartile (Q3):
   The upper half of the data (after the median) is:
   $8, 10, 10, 11, 13, 15, 15, 15$.
   Median of this subset: $\frac{11 + 10}{2} = 10.5$.
   Q3 = 10.5

Step 4: Summary Statistics

• Minimum: $2$
• Q1: $4.5$
• Median (Q2): $8$
• Q3: $10.5$
• Maximum: $15$

Box Plot

The box plot can be drawn as follows:

• The whiskers span from the Minimum (2) to the Maximum (15).
• The box starts at Q1 (4.5) and ends at Q3 (10.5).
• A line at Median (8) divides the box.

Would you like a visual representation of the box-and-whisker plot? Let me know if you need further clarifications or calculations.

Related Questions:

1. What is the interquartile range (IQR) of the dataset?
2. How do you identify outliers using IQR?
3. How can you visually interpret skewness from a box-and-whisker plot?
4. How do changes in the dataset affect the median and quartiles?
5. How is a box-and-whisker plot used in real-world data analysis?

Tip: Always verify the quartiles using software or a statistical calculator for large datasets to ensure accuracy.