What is the difference between the median number of hours that 6th graders play sports and the median number of hours that 8 graders play sports? A. 4 h B. 2.5 h C. 2 h D. 1.65 h
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There are 20 6th graders and 20 8th graders
For the 6th graders:
Number of 6th graders spending 2 hours = 1
Number of 6th graders spending 3 hours = 4
Number of 6th graders spending 4 hours = 2
Number of 6th graders spending 5 hours = 4
Number of 6th graders spending 6 hours = 5
Number of 6th graders spending 7 hours = 1
Number of 6th graders spending 9 hours = 1
Number of 6th graders spending 10 hours = 2
The median is the number in the middle, since there are even number of 6th graders, median = (n + 1)/2
Median = (20 + 1)/2 = 21/2 = 10.5 = 10th student
The median number of hours corresponding to the 10th student = 5 hours
For the 8th graders:
Number of 8th graders spending 1 hours = 0
Number of 8th graders spending 2 hours = 1
Number of 8th graders spending 3 hours = 1
Number of 8th graders spending 4 hours = 2
Number of 8th graders spending 5 hours = 0
Number of 8th graders spending 6 hours = 2
Number of 8th graders spending 7 hours = 4
Number of 8th graders spending 8 hours = 5
Number of 8th graders spending 9 hours = 2
Number of 8th graders spending 10 hours = 3
The median is the number in the middle, since there are even number of 68th graders, median = (n + 1)/2
Median = (20 + 1)/2 = 21/2 = 10.5 = 10th student
The median number of hours corresponding to the 11th student = 7 hours
The difference between the median number of hours = 7 - 5 = 2 hours