Five scores have the same mean and median. If the four lowest scores are 20, 30, 50, and 60, what is the highest score?

90

Step-by-step explanation:

Definition:

Mean:the total of a group of numbers, divided by the number of numbers

Median:the middle of a group of number in value (obviously not position)

Work:

Since the four lowest scores are 20, 30, 50, and 60, the number we need to find is the highest. We'll say the highest number is x.The mean is the same as the median in the list 20, 30, 50, 60, xThe median is 50 as it is the middle numberSo, (20+30+50+60+x)/5=50. That means (160+x)/5=50. And 160+x=250. So x=90

Double Check:

In the list 20, 30, 50, 60, 90– 50 is the medianIn the list 20, 30, 50, 60, 90– (20+30+50+60+90)/5 which equals 250/5 which equals 50is the mean50=50

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