Question

Discuss the importance and properties of standard deviation.

​

Answer 1

Properties of standard deviation

Standard deviation is only used to measure spread or dispersion around the mean of a data set. Standard deviation is never negative. Standard deviation is sensitive to outliers. ... For data with approximately the same mean, the greater the spread, the greater the standard deviation

Standard Deviation introduces two important things, The Normal Curve (shown below) and the 68/95/99.7 Rule. ... Standard deviation is considered the most useful index of variability. It is a single number that tells us the variability, or spread, of a distribution (group of scores)