The mean will reduce by 11.3 and the median will reduce by 7.5 if 180 is removed from the data set.
The current mean is:
= (25 + 50 + 50 + 60 + 70 + 85 + 85 + 90 + 90 + 180) / 10 observations
= 785 / 10
= 78.5
The current median is:
25,50,50,60,70,85,85,90,90,180
= Sum of numbers in the middle / 2
= (70 + 85) / 2
= 77.5
If 180 is removed from the list, the mean becomes:
= (25 + 50 + 50 + 60 + 70 + 85 + 85 + 90 + 90) / 9 observations
= 67.2
The median becomes the number in the middle which is:
25,50,50,60,70,85,85,90,90
= 70
Mean reduces by:
= 78.5 - 67.2
= 11.3
Median reduces by:
= 77.5 - 70
= 7.5
Both the median and the mean reduce when 180 is removed from the data set.
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