The five number summary includes the following.
1. minimum
2. The first Quartile(Q1)
3. The median
4. The third quartile(Q3)
5. The maximum
1. Appearance in basket ball tournament . The data from this are as follows (Note the values are to be arranged from smallest to the largest)
1, 2, 3, 3, 5, 11, 14, 16 , 17
The minimum(the smallest number) = 1
The maximum(the largest number) = 17
The median(middle number) = 5
[tex]\begin{gathered} Q_1\mleft(\text{The median of the }lower\text{ half of the dat set}\mright)=\frac{2+3}{2}=\frac{5}{2}=2.5 \\ \\ Q_3(The\text{ median of the higher half of the data sets)=}\frac{14+16}{2}=15\text{ } \end{gathered}[/tex]
2. Games per world series.
4, 4, 6, 6, 7, 7, 7, 7, 7
minimum = 4
maximum = 7
Median = 7
[tex]\begin{gathered} \text{first quartile = }\frac{4+6}{2}=\frac{10}{2}=5 \\ \text{third quartile=}\frac{7+7}{2}=\frac{14}{2}=7 \end{gathered}[/tex]
3. Olympic medal wons
5, 5, 7, 8, 9, 13, 13, 17, 18, 28
minimum = 5
maximum = 28
[tex]\begin{gathered} \text{median = }\frac{13+9}{2}\text{= }\frac{21}{2}=10.5 \\ \\ \text{first quartile = }7 \\ \text{third quartile = 17} \end{gathered}[/tex]
