Dr Nick

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About Dr Nick

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Teaching Since: May 2017
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  • MBA (IT), PHD
    Kaplan University
    Apr-2009 - Mar-2014

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  • Professor
    University of Santo Tomas
    Aug-2006 - Present

Category > Statistics Posted 10 Nov 2017 My Price 15.00

a sample are given the same weight

Outliers increase the standard deviation.

Mean is most affected by outliers, since all values in a sample are given the same weight when calculating mean. A value that is far removed from the mean is going to likely skew your results and increase the standard deviation.

Say you have five values: 2, 1, 2, 1.5, and 2.1. Your mean would be 1.72 and your standard deviation would be 0.47. All of your values are pretty close to each other in their distribution, thus your standard deviation is small.

Then say you have five values: 2, 1, 2, 1.5, and 10. Your mean would be 3.3 and your standard deviation would be 3.77. That one outlier (10) makes your standard deviation much greater when compared to the earlier set of numbers. The effect would be less though if our sample size was larger and we only had one outlier.

Answers

Dr Nick
(4)
Status NEW Posted 10 Nov 2017 10:11 AM My Price 15.00

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