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# How do you locate the stanines in an assessment?

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I have to find the stanines for three numbers (scores), how do I find this? I am stuck and confused.

Guest May 4, 2017
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I'm guessing a bit here, but how about the following:

Suppose your numbers are x1, x2 and x3

Calculate the mean:  $$x_{av} = (x_1+x_2+x_3)/3$$

Calculate the standard deviation:   $$s = \sum_{k=1}^3(x_k-x_{av})^2/2$$

Calculate $$score_k = 2\frac{x_k-x_{av}}{s}+5$$ for k = 1, 2 and 3

Then score will have a mean of 5 and a standard deviation of 2.

Round the resulting values to the nearest integer to get the stanine values.

As I said above, I'm guessing here!

Alan  May 4, 2017
edited by Alan  May 4, 2017

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