Respuesta :
The maximum = 5.6 goals per game
median = 3.6 goals per game
Interquartile range (IQR ) = 1.2 goals per games
Explanation:To solve this question, we need an illustration that identifies the part of the box and whiskers plot:
The minimum on the box and whiskers = 2.4 goals per game
The maximum = 5.6 goals per game
The median = the line in between the box
median = M on the image
median = 3.6 goals per game
upper quartile = Q3 = 4
lower quartile = Q1 = 2.8
The interquartile range = IQR
[tex]\begin{gathered} \text{IQR = Q}_3-Q_1 \\ \text{IQR = }4\text{ - 2.8} \\ \text{IQR = 1.2} \end{gathered}[/tex]Interquartile range (IQR ) = 1.2 goals per games
[tex]\begin{gathered} \text{Mean = average of the data set} \\ \text{Mean = }\frac{su\text{m of the numbers}}{nu\text{mber of the data set}} \\ \text{Mean = }\frac{2.4\text{ + }2.8+3.6+4+5.6}{5} \\ \text{Mean = 18.4/5} \\ \text{Mean = 3.68} \end{gathered}[/tex]The mean is 3.68 goals per game