Question

Oliver wants to compare the number of hours 7thgraders and 8th graders play video games perweek. He makes a box-and-whisker plot for eachdata set.8th Grade7th Grade.10121416182022 24 26 28 30 32Which value do you know is lesser for 7th gradethan 8th grade?

Answer 1

By lecture of the box-and-whisker plots, we can see 5 point we can use to determine which value is less for 7th grade

in the plot we can see the maximum and minimun value for the data set which evetually lead to finding the range, it also gives us the information on the 1st and third quartile, and finally it gives us the median of the data set,

the range for both plots is the same

`\begin{gathered} 32-12=20;8th\text{ grade} \\ 30-10=20;7th\text{ grade} \end{gathered}`

however the median for the data set is different, for 8th graders is 20 and for 7th graders is 18. which makes the median as the correct answer since we cannot read the mode from this plot and the upper quartile is the same for both.