Autoscaling

For a given set of values, the standard deviation can be made to be unit by scaling (dividing) all the values by the original standard deviation. This is a standard step in normalization of data.

Say, the values are - 1, 2, 3, 4 and 5. The standard deviation is √2. Now, dividing each value by the standard deviation gives us the transformed data as - 1/√2, √2, 3/√2, 2√2 and 5/√2. The new standard deviation for this set of values is 1.

(The above principle is better demonstrated algebraically).

See Also:
standard deviation, normalization

References:

Cite This As:

Dogra, Shaillay K., "Autoscaling." From QSARWorld--A Strand Life Sciences Web Resource. http://www.qsarworld.com/qsar-statistics-autoscaling.php