Question

The table lists the test scores William and Andre received on five math assessments. Which student had the higher median? By how much? A: Andre by 7 points B: William by 5 points C: William by 7 points D: Andre by 5 points

Answer 1

Answer: c

First you organize the numbers into order then you find the middle of both. The middle of Williams was 89. Then you do the same for Andres and you get 82. To get the difference of them both you have to subtract both of them to get 7 and that’s c.

Answer 2

The student had the higher median By how much William had the higher median by 7 points.

To find the median for each student, first, arrange the scores in ascending order.

William's Scores (in ascending order):

78, 81, 89, 91, 97

Andre's Scores (in ascending order):

73, 74, 82, 87, 90

Now, find the median for each set:

William's Median:

Since there is an odd number of scores (5), the median is the middle score, which is 89.

Andre's Median:

Since there is an odd number of scores (5), the median is the middle score, which is 82.

Now, compare the medians:

William's Median: 89

Andre's Median: 82

Therefore, William had the higher median by 7 points.

The correct answer is: C: William by 7 points.