Question

Anya plays one round of her favorite online game every day. One week, she played
\[7\] rounds and scored between
\[120\] and
\[300\] points each round. She calculated the mean and median of those scores.
Then, Anya found out that the day she scored
\[300\] points was a special "double points" day, so she actually earned
\[600\] points, not
\[300\].
How will this amount increasing affect the mean and median?
Choose 1 answer:
A
Both the mean and median will increase.
B
The mean will stay the same, and the median will increase.
C
The mean will increase, and the median will decrease.
D
The mean will increase, and the median will stay the same.

Answer 1

D

The mean increases — the total points go up (300 becomes 600) while the number of rounds stays 7.
The median stays the same — with 7 scores the median is the 4th score; any 300s are at or above that middle position, and increasing one 300 to 600 does not change the 4th value (if 300 was the median there were at least four 300s, and after the change the 4th score is still 300).