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A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.



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The data set with the greater range is
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. The median
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.
Two line plots one above the other, both are labeled from two to twenty by twos. The top line plot is labeled Boys and it has three Xs above ten, two Xs above fifteen and one X above eight, twelve, thirteen, fourteen and twenty. The bottom line plot is labeled Girls and it has three Xs above four, two Xs above ten and one X above three, six, seven, eight and fifteen.

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To determine which dataset has the greater range and to identify the median for both boys and girls based on the given line plots, we’ll need to calculate the range and the median for each dataset.

Boys' Data:

  • The numbers of hours spent are: 8, 10, 10, 12, 13, 14, 15, 15, 15, 20.
  • The minimum value is 8 and the maximum value is 20.
  • Range = Maximum - Minimum = 20 - 8 = 12.
  • To find the median, we first list the data in order: 8, 10, 10, 12, 13, 14, 15, 15, 15, 20.
  • The median (the average of the 5th and 6th values, since there are 10 values) is (13 + 14) / 2 = 13.5.

Girls' Data:

  • The numbers of hours spent are: 3, 4, 4, 4, 10, 10, 6, 7, 8, 15.
  • The minimum value is 3 and the maximum value is 15.
  • Range = Maximum - Minimum = 15 - 3 = 12.
  • To find the median, we put the data in order: 3, 4, 4, 4, 6, 7, 8, 10, 10, 15.
  • The median (the average of the 5th and 6th values) is (6 + 7) / 2 = 6.5.

Based on this analysis:

  1. The data set with the greater range is neither (both have a range of 12).
  2. The median for boys is 13.5 and for girls is 6.5.

Complete sentences:

  • The data set with the greater range is neither.
  • The median for boys is 13.5.