Range Rule Of Thumb Statistics

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The range dominion of thumb is a handy method of estimating the range from the standard divergence. It tells us that the range is generally virtually 4 times the standard deviation.

So if your standard deviation is 2, you lot might estimate that your range is about 8.

Using the range rule of thumb it is also possible to estimate a standard departure when you know the range. Simply split the range by iv.

The range rule of thumb works best for data from a normal distribution where the sample size is close to thirty. For samples that are either much smaller or much larger than thirty, or do not follow the normal distribution, information technology tin be a very bad gauge.

Alternate Rules

At that place are culling 'rules of thumb' which tend to provide better guesses, but they are likewise much heavier on adding. For example, one suggestion from Ramirez and Cox (2012) for a rule is as follows:

The formula is limited to the normal distribution, but the authors exercise offering suggestions for other distributions. You can find their article here.

Other Uses of the Range Rule of Pollex

The range rule of thumb suggests that almost values would exist in the area covered by four standard deviations: i.due east., inside two standard deviations above or below the mean. This allows us to ascertain unusual values every bit those which don't autumn into this range. We call the maximum usual value the mean plus two standard deviations, and the minimum usual value the mean minus 2 standard deviations.

References

Ramirez, Alfredo. Cox, Charles. Improving on the Range Rule of Thumb. Rose Hulman Undergraduate Mathematics Journal, Volume xiii, No. 2, Autumn 2012. Retrieved from https://scholar.rose-hulman.edu/cgi/viewcontent.cgi?article=1211&context=rhumj on August 28, 2018.

Triola, Grand.F. Elementary Statistics Using Excel. Section 5-2, Random Variables. Retrieved from http://math.tntech.edu/e-stat/TRIOLA/Chapter5.pdf on August 28, 2018.

Jones, James. Measures of Variance. Retrieved from https://people.richland.edu/james/ictcm/2001/descriptive/helpvariance.html on August 28, 2018.

Tanbakuchi, Anthony. Introductory Statistics Lectures: Measures of Variation. Department of Mathematics, Pima Community Higher. Retrieved from http://www.u.arizona.edu/~kuchi/Courses/MAT167/Files/LH_LEC.0230.DescStats.Variation.pdf on August 28, 2018.

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