How will a high outlier in a data set affect the mean and median?

O A. distribution skewed to the right, mean not effected, median skewed to the right

O B. distribution skewed to the right, mean pulled to the right, median not effected

O C. distribution skewed to the right, mean not effected, median not effected

OD. distribution skewed to the left, mean pulled to the left, median not effected

Question

Anya Bullock

Mathematics

7 June, 09:18

How will a high outlier in a data set affect the mean and median?

O A. distribution skewed to the right, mean not effected, median skewed to the right

O B. distribution skewed to the right, mean pulled to the right, median not effected

O C. distribution skewed to the right, mean not effected, median not effected

OD. distribution skewed to the left, mean pulled to the left, median not effected

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Answers (1)

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Glenn Brady · Answer 1

B. distribution skewed to the right, mean pulled to the right, median not effected

Step-by-step explanation:

When a distribution is skewed to the right, it means that the data is positively skewed or has more positive numbers than negative numbers.

An outlier can affect the mean of a distribution since a high value outlier will make the mean be much higher than the median. In this case, since the distribution is positively skewed, a high outlier will pull the mean to the right (to higher positive values).