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6 Answers. Take each element and subtract with the mean and then divide by the standard deviation. The following subtracts the mean of A from each element (the new mean is 0), then normalizes the result by the standard deviation.
Subtract mean and divide by standard deviation: Center the data and change the units to standard deviations. Subtract mean: Center the data. Divide by standard deviation: Standardize the scale for each variable that you specify, so that you can compare them on a similar scale.
Subtract the mean,, from the value you want to convert, X. Divide the result from Step 1 by the standard deviation,.
Subtract mean and divide by standard deviation: Center the data and change the units to standard deviations. Subtract mean: Center the data. Divide by standard deviation: Standardize the scale for each variable that you specify, so that you can compare them on a similar scale.
We subtract off the mean of X, which is, and divide through by the standard deviation of X, which is n, to obtain a standardized version of the sample mean: X/n.
When you standardize a random variable, its mean becomes zero and its standard deviation becomes one. Therefore, if the Z score of x is zero, then the value of x is equal to the mean. If the Z score of x is one, then the value of x is one standard deviation above the mean.
To normalize a matrix, you divide each element by the determinant of the matrix. But in the example from your tutorial, it seems that each element in a given column is being divided by the sum of the elements of that column. The result is that the column-sums are being reduced to 1 (albeit with some round-off errors).
Any vector, when normalized, only changes its magnitude, not its direction. Also, every vector pointing in the same direction, gets normalized to the same vector (since magnitude and direction uniquely define a vector). Hence, unit vectors are extremely useful for providing directions.
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