The data to represent average test scores for a class of 16 students includes an outlier value of 72. If the outlier is included, then the mean is 86. Which statement is always true about the new data when the outlier is removed?

a.) The mean would increase.

b.) The mean would decrease.

c.) The median would increase.

d.) The median would decrease.

Question

Mathematics

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20 April, 23:52

The data to represent average test scores for a class of 16 students includes an outlier value of 72. If the outlier is included, then the mean is 86. Which statement is always true about the new data when the outlier is removed?

a.) The mean would increase.

b.) The mean would decrease.

c.) The median would increase.

d.) The median would decrease.

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Answers (1)

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Dominik Collins · Answer 1

Step-by-step explanation:

when the outlier is removed, the mean increases ... the removing of the outlier does very little to the median or mode.

example:

1,2,3,4,5

mean = 15/5 = 3 ... median = 3

now throw in an outlier ...

1,2,3,4,5,50

mean = 65/6 = 10 5/6 ... median = (3 + 4) / 2 = 7/2 = 3.5

as u can see, it drastically affects the mean ... and does little to the median

ur answer is A