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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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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.


What is the relation between quartile deviation and standard deviation?

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.


Why we calculate standard deviation and quartile deviation?

we calculate standard deviation to find the avg of the difference of all values from mean.,


Is variance the square root of standard deviation?

No, you have it backwards, the standard deviation is the square root of the variance, so the variance is the standard deviation squared. Usually you find the variance first, as it is the average sum of squares of the distribution, and then find the standard deviation by squaring it.


How do you find the sample deviation?

You're an idiot. It's standard deviation. Google that for your answer.


How do you find graph median by using standard deviation?

You cannot because the median of a distribution is not related to its standard deviation.


Why would someone need a standard deviation calculator?

A standard deviation calculator allows the user to find the mean spread away from the mean in a statistical environment. Most users needing to find the standard deviation are in the statistics field. Usually, the data set will be given and must be typed into the calculator. The standard deviation calculator will then give the standard deviation of the data. In order to find the variance of the data, simply square the answer.


Give an example of how to find the standard deviation?

Look at the Wikipedia article on "Standard deviation" - it includes an example right at the beginning.