The dot plots can be represented by the following sort of data:
Week 1
[tex]\mleft\lbrace62,68,68,68,69,70,70,72,72,72,75,75,76,78,78,80,80,80\mright\rbrace[/tex]
Week 2
[tex]\begin{gathered} \mleft\lbrace62,62,64,64,64,65,68,68,68,69,70,70,72,72,72,75,75,76,78,78,\ldots\mright? \\ \ldots80,80,80,85,85,86,86,86,89,89\} \end{gathered}[/tex]
The ranges of week 1 and week 2 are [62, 80] and [62, 89], respectively. Thus, options A and B cannot be true.
The medians are: Week 1 = 72; Week 2 = 73.5. Therefore, the third statement is true.
The means are: Week 1 =72.94; Week 2 = 74.6. This also leads to the fourth statement to be false.
