Question

What effect does eliminating the highest value, 180, from the data set have on the mean and the
median?
25,50,50,60,70,85,85,90,90,180

Answer 1

Step-by-step explanation:

before the eliminating

mean = 78.5

median = 77.5

after eliminating the 180

mean = 67.2

median = 70

so median and mean will decrease

Answer 2

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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