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

Mathematics

Holmes

20 December, 19:50

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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Starbuck · 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).