Question

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

highest score?

Answer 1

Answer:

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, x
• The median is 50 as it is the middle number
• So, (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 median
• In the list 20, 30, 50, 60, 90– (20+30+50+60+90)/5 which equals 250/5 which equals 50is the mean
• 50=50