Question

Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that

apply.)
4, 7, 9, 9, 10
O mode
O median
O mean
Orange

Answer 1

It would be mode the data given 7-90038–737/777388(77738&

Answer 2

The mean will change. The range will change.

Explanation:

The outlier is 4, it's the one number in the data that isn't close to the other numbers.

The data without the outlier will be 7, 9, 9, 10.

Mode: The mode will still be 9. It is still the number that appears the most in the data.

Median: The median WON'T change. The data is now one value shorter, but the median will still be 9. Before it was 9, and now it's still 9 ((9+9)/2).

Mean: The mean will change because we're excluding one value. Before, the mean was 7.8 (4+7+9+9+10=39, 39/5 = 7.8). NOW it is 8.75 (7+9+9+10=35, 35 / 4 = 8.75).

Range: The range will change. Before it was 10-4, now it is 10-7. The range was originally 6 and now it's 3.