FALSE
The mean is the MOST affected by the outlier.
Example:
<- 1 2 3 4 5 9 ->
9 is the outlier
1 + 2 + 3 + 4 + 5 + 9 = 24
Divided by 6 = 4
Without 9 the solution is this:
1 + 2 + 3 + 4 + 5 = 15
Divided by 5 = 3
The median and mode are also affected.
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the mean is affected by outliers
Yes.
You will notice a difference in the data if you have outliers. The mean of a set is going to be heavily influenced by outliers due to the mean being dependant on the quantity of each unit (i.e. 2 cats, 7 cats, 300 cats, etc.) The median, however, is not influenced by outliers because it accounts for the number of units rather than the quantity associated with the units.
No. The mean is calculated by adding all of the numbers, then dividing that sum by [how many numbers]. The trimmed meandoes remove some outliers (same number of outliers at top and bottom, though). The median is the middle number of a sorted set.
They are called outliers