Here is the question:Consider a data set of 15 distinct measurements with mean A and median B.
(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.
I'm not sure if my answer is right... can someone check for me?
a)The mean would increase while the median would remain the same.
b) Both the mean and median would remain the same.
3 answers
There would still be the same number of values on either side of the median, so it would be unchanged. The sum of the values would decrease, so the mean would also decrease.
(b)2. The count of values greater than the existing median would decrease and the count below the existing median would increase. The value of the median would have to decrease to restore the equality of the count. The sum of the values would decease which would decrease the mean value..
So for part:
a) Both the mean and median would remain the same.
b) The mean would decrease while the median would remain the same.
3 answers