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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

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 25 H C class=

Sagot :

Answer: The difference between the median number of hours = 2 hours (option C)Explanations:

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

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