Answer: The median is what changes the most when you remove the outlier.
Step-by-step explanation:
The data is... {2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14 }
In this set, 2 is obviously the outlier because of how different it is to the rest of the numbers. I assume your choices would be mean, median, or mode. So I calculated them for the original data set and then the new ones when you remove 2.
Original Mean = 11
Original Median = 8
Original Mode = 12
Mean is adding everything together and dividing by how many numbers were added to get average. Median is the exact middle number in the range. Mode is what is repeated the most.
When I remove 2, the new results are:
New Mean: 11.9
New Median: 12
New Mode: 12
Of the things that change Median went from 8 to 12, so this is the largest change. It makes sense because 2 made it a large range of numbers to be the answer, including stuff that isn’t in the set like 3-9. So you can assume in situations where the outlier is really really far away from data set that the median is what changes.
