Normalization by Standard Deviation


Assume that there are five rows with the IDs A, B, C, D and E, each row containing n different variables (columns). We use record E as an example in the calculations below. The remaining rows are normalized in the same way.

The normalized value of ei for row E in the ith column is calculated as:

norm_std_dev_eq.png

where

images/n_z_score_ekv_2.gif

images/n_z_score_ekv_3.gif

If all values for row E are identical—so the standard deviation of E (std(E)) is equal to zero—then all values for row E are set to zero.

See also:

Normalizing Columns

Standard Deviation