Question

raj polled 100 students in his class to compare the number of hours that teen boys and girls played video games each week. the results of his survey are shown below. which statement about his data sets is true?
hours of video game time per week for teen boys
box plot for boys
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
hours of video game time per week for teen girls
box plot for girls
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
\\(\circ\\) the average boy plays 8.5 hours more per week than the average girl.
\\(\circ\\) the average boy plays 2 hours more per week than the average girl.
\\(\circ\\) the average boy plays the same amount of time per week as the average girl.
\\(\circ\\) the average boy plays 6 hours more per week than the average girl.

Explanation:

Step1: Find boys' median (average)

For a box plot, the median (average for this context) is the line inside the box. For boys, this line is at 13.

Step2: Find girls' median (average)

For girls, the median line inside the box is at 4.5.

Step3: Calculate the difference

Subtract girls' median from boys' median: $13 - 4.5 = 8.5$

Answer:

The average boy plays 8.5 hours more per week than the average girl.