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Mathematics, 05.05.2020 05:11 Yeetious

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 gender shows greater variability in their playing time?

Hours of Video Game Time per Week for Teen Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.

Hours of Video Game Time per Week for Teen Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.

Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.

Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.

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