To find the median for each class, we first need to order the data points:
Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
For Class 1, the median is the middle value, which is the 8th value in the ordered list, so the median for Class 1 is 8.
For Class 2, there are 15 data points, so the median is the average of the 8th and 9th values (since 7 and 8 are in the middle), which is (7+8)/2 = 7.5.
The difference between the medians is 7.5 - 8 = -0.5. Since the median for Class 2 is 7.5, which is 0.5 miles higher than the median for Class 1, we conclude that Class 2 has a higher median by 0.5 miles.
The data shows the number of miles run per week by randomly selected students from two different classes. Find the difference between the medians. Which class has a higher median? By how much?%0D%0A%0D%0AClass 1: 6, 8, 10, 11, 14, 4, 5, 8, 2, 7, 7, 5, 10, 12, 11%0D%0AClass 2: 6, 4, 5, 6, 7, 8, 12, 9, 10, 11, 5, 8, 7, 4, 10%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AClass 2 has a higher median than Class 1 by 0.5 mile.%0D%0AClass 2 has a higher median than Class 1 by 0.5 mile.%0D%0A%0D%0AClass 1 has a higher median than Class 2 by 1 mile.%0D%0AClass 1 has a higher median than Class 2 by 1 mile.%0D%0A%0D%0AClass 2 has a higher median than Class 1 by 1 mile.%0D%0AClass 2 has a higher median than Class 1 by 1 mile.%0D%0A%0D%0AClass 1 has a higher median than Class 2 by 0.5 mile.
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