Short Answer 
The data should first be organized in ascending order. Then, the quartiles Q1, Q2 (Median), and Q3 can be calculated using position formulas, resulting in Q1 = 7.5, Median = 10, and Q3 = 13, with the minimum value of 3 and maximum value of 16 identified from the dataset.
Step 1: Arrange the Data
Begin by organizing the entire data set in ascending order. This step is crucial as quartiles depend on the positions of data points. In this case, the ordered data is:
- 3, 4, 6, 7, 8, 9, 10, 10, 12, 12, 13, 13, 15, 16
Step 2: Calculate Quartiles
To find the quartiles Q1, Q2 (Median), and Q3, use the following formulas based on the number of data points (n). For Q1 and Q3, use the positions:
- Q1 = (1/4)(n + 1)th term
- Q2 = (1/2)(n + 1)th term (Median)
- Q3 = (3/4)(n + 1)th term
For our data:
- Q1 ‚Äöaa 7.5
- Median ‚Äöaa 10
- Q3 ‚Äöaa 13
Step 3: Identify Minimum and Maximum Values
Finally, determine the minimum and maximum values from the arranged data set. This will provide a complete view of the data’s spread. For the given data:
- Minimum value = 3
- Maximum value = 16
Thus, the results are Minimum = 3, Q1 = 7.5, Median = 10, Q3 = 13, and Maximum = 16.