Answer:
C. The mean will increase, and the median will stay the same.
Step-by-step explanation:
We know Adam's high score was originally 250, but increased to 290. This would most likely affect the mean since the average mean before Adam received a high score of 290, would have been around 180-220.
We can prove this by hypothetically plugging in 220 for the other three players and 250 for Adam's orginal high score. To find the mean add up the total scores and divided them by four (number of people).
mean (maximum total score) = [tex]\frac{220 + 220 + 220 + 250}{4}[/tex]= 227.5
Then we can plug in Adam's high score of 290 that he late receives.
affected mean (maximum total score) = [tex]\frac{220+220+220+290}{4}[/tex] = 237.5
As you can see, the mean of the maximum total scores is increased by 10.
Now for the median.
The order of the numbers from least to greatest is:
Original- 220, 220, 220, 250 - median = 220
After- 220, 220, 220, 290 = 220
So, the median stayed as 220 and did not change.
Hope this helps :D
