Question

# What does it mean for a sample to have a standard deviation of zero? Describe the scores in such a sample?

Data distributions
What does it mean for a sample to have a standard deviation of zero? Describe the scores in such a sample?

Variance $$\displaystyle={\sum_{{{i}={1}}}^{{n}}}\frac{{{\left({X}_{{I}}-\overline{{X}}\right)}^{{2}}}}{{{n}-{1}}}$$
$$\displaystyle{0}={\sum_{{{i}={1}}}^{{n}}}\frac{{{\left({X}_{{I}}-\overline{{X}}\right)}^{{2}}}}{{{n}-{1}}}$$
$$\displaystyle{\sum_{{{i}={1}}}^{{n}}}{\left({X}_{{I}}-\overline{{X}}\right)}^{{2}}={0}$$