We were given a certain dataset from which we need to extract certain characteristics. We need to find the maximum value, minimum value, Q1, Q3, and IQR.
The minimum value is the lowest value on the dataset, which would be:
[tex]\min =65[/tex]
The maximum value is the highest value on the dataset, which would be:
[tex]\max =99[/tex]
The Q1 is the "middle" value for the first part of the dataset, the first thing we should do to find the Q1 is to rearrange the dataset in increasing order.
[tex]65,67,72,72,75,82,83,85,86,88,91,91,93,94,96,97,98,99,99[/tex]
The Q1 is:
[tex]Q1=75[/tex]
Q3 is the middle value for the second part of the dataset. Therefore the is:
[tex]Q3=96[/tex]
The IQR is the difference between the two:
[tex]\begin{gathered} \text{IQR}=96-75 \\ \text{IQR}=21 \end{gathered}[/tex]
