Explanation:
33, 25, 42, 25, 31, 37, 46, 29, 38
Re-arranging the data set from the lowest to the highest:
25, 25, 29, 31, 33, 37, 38, 42, 46
median = (N + 1)/2
N = 9
median = (9+1)/2 = 10/2
median = 5
first quartile:
[tex]Q_1=\text{ }\frac{\frac{N}{2}+1}{2}[/tex][tex]\begin{gathered} Q_1=\text{ }\frac{\frac{9}{2}+1}{2}=\frac{4.5\text{ + 1}}{2} \\ Q_1=\text{ }\frac{5.5}{2} \\ Q_1=2.75 \end{gathered}[/tex]From the data, the first quartile:
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