Question
A set of nine data points is shown below. Which statement is true if a tenth data point of 45 is added to the data set?
8 11 12 10 9 7 5 3 9
A. The mean and median will both increase.
B. The mean will increase and the median will decrease.**
C. The mean will increase and the median will remain the same.
D. The mean and the median will both decrease.
8 11 12 10 9 7 5 3 9
A. The mean and median will both increase.
B. The mean will increase and the median will decrease.**
C. The mean will increase and the median will remain the same.
D. The mean and the median will both decrease.
Answers
oobleck
the median cannot decrease if a new high value is added.
It will be the average of the two new middle values, which cannot be less than the current middle value.
It will be the average of the two new middle values, which cannot be less than the current middle value.
wintry
C. The mean will increase and the median will remain the same.
before 45 is added: mean is 8.22 median is 9
after 45 is added: mean is11.9 median is 9
before 45 is added: mean is 8.22 median is 9
after 45 is added: mean is11.9 median is 9