Suppose you are told that a distribution is said to be approximately normal because outliers have skewed the data. List the possible ways outliers can skew an approximately normal distribution and what effect they can have.

Question

Mathematics

Carmelo Ayers

25 January, 14:26

Suppose you are told that a distribution is said to be approximately normal because outliers have skewed the data. List the possible ways outliers can skew an approximately normal distribution and what effect they can have.

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Maggie Christensen · Answer 1

Step-by-step explanation:

Outline are values which are entirely different from those remaining values in a data set. These extreme values can skew an approximately normal distribution by skewing the distribution in the direction of the outliers and this makes it difficult for the data set to be analyzed.

Its effect is such that the mean becomes extremely sensitive to extreme outliers making it possible that the mean is this not a representative of the population and this theoretically affects the standard deviation.