Let's go through the steps one by one to calculate the requested values.

Data:

3, 4, 5, 5, 7, 7, 11, 15, 16, 16, 17, 17, 19

Step 1: Find the Minimum and Maximum

• Minimum: The smallest value in the dataset is 3.
• Maximum: The largest value in the dataset is 19.

Step 2: Find the Median (Q2)

The median is the middle value of the dataset when it is ordered.

• The dataset has 13 values, so the median is the 7th value (since $\frac{13+1}{2} = 7$).
• Median (Q2): The 7th value is 11.

Step 3: Find the First Quartile (Q1)

The first quartile (Q1) is the median of the lower half of the data (values before the median).

• The lower half of the data is: 3, 4, 5, 5, 7, 7.
• The median of this lower half is the 3rd value, which is 5.

Step 4: Find the Third Quartile (Q3)

The third quartile (Q3) is the median of the upper half of the data (values after the median).

• The upper half of the data is: 15, 16, 16, 17, 17, 19.
• The median of this upper half is the 3rd value, which is 16.

Step 5: Calculate the Interquartile Range (IQR)

The IQR is the difference between the third and first quartiles.

• IQR = Q3 - Q1 = 16 - 5 = 11

Summary:

• Minimum: 3
• First Quartile (Q1): 5
• Median (Q2): 11
• Third Quartile (Q3): 16
• Maximum: 19
• IQR: 11

Let me know if you need more details or explanations!

Here are 5 related questions:

1. How do you find the median of a dataset with an even number of values?
2. What is the significance of the interquartile range (IQR) in data analysis?
3. How do you handle outliers when calculating quartiles?
4. What is the difference between the quartiles and percentiles?
5. Can you explain how to visualize quartiles using a box plot?

Tip: When working with datasets, always sort the data first before calculating measures like the median, quartiles, or range!