Given the data points:
6, 9, 9, 10, 10, 10, 11, 11, 12, 17, 19, 19
Solution
Min: Minimum number in the set of data:
[tex]Min\text{ = 6}[/tex]
Max: Maximum number in the set of data:
[tex]\text{Max = 19}[/tex]
Q1: First quartile of the set of data:
First, we obtain the position of the point using the formula:
[tex]Q_1\text{ = }\frac{n+1}{4}[/tex]
Hence,
[tex]\begin{gathered} Q_1\text{ = }\frac{12+1}{4} \\ Q_1\text{ = 3.25th} \end{gathered}[/tex]
Q1 is between 9 and 10. Thus:
[tex]Q_1\text{ = 9.25}[/tex]
