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Common method is to find the mean and the standard deviation

of the data set and then call anything that falls more

than three standard deviations away from the mean an outlier. That

is, x is an outlier if

abs(x - mean)

--------------- > 3

std dev

This is usually called a z-test in statistics books, and the ratio

abs(x-mean)/(std dev) is abbreviated z.

Source: http://mathforum.org/library/drmath/view/52720.html

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Q: How does standard deviation find outliers?
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Related questions

The mean and standard deviation are usually not used together because of outliers?

false


If outliers are added to a dataset how would the variance and standard deviation change?

They would both increase.


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Strictly speaking, none. A quartile deviation is a quick and easy method to get a measure of the spread which takes account of only some of the data. The standard deviation is a detailed measure which uses all the data. Also, because the standard deviation uses all the observations it can be unduly influenced by any outliers in the data. On the other hand, because the quartile deviation ignores the smallest 25% and the largest 25% of of the observations, there are no outliers.


If quartile deviation is 24. find mean deviation and standard deviation?

Information is not sufficient to find mean deviation and standard deviation.


Which of the following is least affected if an extreme high outlier is added to your data mean median or standard deviation or ALL?

The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.


Is absolute mean deviation affected by outliers?

Yes.


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