Question

Why don't we use absolute value with standard deviation

Answer 1

Answer:

Both measure the dispersion of your data by computing the distance of the data to its mean. The difference between the two norms is that the standard deviation is calculating the square of the difference whereas the mean absolute deviation is only looking at the absolute difference.

Answer 2

Answer:

Unlike the absolute deviation, which uses the absolute value of the deviation in order to "rid itself" of the negative values, the variance achieves positive values by squaring each of the deviations instead. ... First, because the deviations of scores from the mean are 'squared', this gives more weight to extreme scores.

Step-by-step explanation:

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