Explain why the tandart deviation would likely not be reliable measure of variability for a distribution of data that includes at least one extreme outlier.

Explain why the tandart deviation would likely not be reliable measure of variability for a distribution of data that includes at least one extreme outlier.
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To analyse the standard deviation that will not be reliable based on the measure of variability that includes the data distribution with atleast one extreme outlier as follows.
The particular data set in an extreme is defined as an outlier. It is many a time that includes the statistical analysis that is being dominated.
The outliers are not present since the mean and standard deviation are different. The Standard deviation is calculated by the formula as,
$\sigma =\sqrt{\frac{\sum _{i=1}^{n}{\left({X}_{i}-\stackrel{―}{X}\right)}^{2}}{n}}$
Here, sigma is the Standard deviation. It involves the mean deviation in which the value is affected based on the presence of the outliers in which the Standard deviation is affected. It is not reliable that includes the variability measure forming the data distribution that includes the one outlier. It is measured based on the squared difference in which the single extreme value results in having the disproportionate effect.