Here is the question:Consider a data set of 15 distinct measurements with mean A and median B.

Question

(a) If the highest number were increased, what would be the effect on the median and mean? Explain.

The mean would remain the same while the median would increase.
Both the mean and median would increase.
Both the mean and median would remain the same.
The mean would increase while the median would remain the same.

(b) If the highest number were decreased to a value still larger than B, what would be the effect on the median and mean?

The mean would decrease while the median would remain the same.
Both the mean and median would decrease.
Both the mean and median would remain the same.
The mean would remain the same while the median would decrease.

(c) If the highest number were decreased to a value smaller than B, what would be the effect on the median and mean?

The mean would decrease while the median would remain the same.
Both the mean and median would decrease.
Both the mean and median would remain the same.
The mean would remain the same while the median would decrease.

I'm not sure if I did this right but here are my answers:

(a)Both the mean and median would increase.
(b)Both the mean and median would decrease.
(c) Both the mean and median would decrease.

Can anyone check to see what I did wrong?

Answer 1

The median is essentially the 50th percentile.

Think of the mean as a fulcrum or balance point.

a) disagree

b) disagree

c) agree

Answer 2

I fixed my answer but I'm not sure if it is right...

a)The mean would increase while the median would remain the same.

b) Both the mean and median would remain the same.

Answer 3

(b) the mean would decrease while the median remained the same