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The S.D of scores 1,2,3,4,5 is

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\\ \mathrm{SD}=\sqrt{\frac{\sum_{i=1}^{N}\left(x_{i}-\bar{z}\right)^{2}}{N}}$ \\ $\bar{x}=$ Mean and $N=$ Number of scores \\ \\ Mean $=\bar{x}=\frac{\sum x_{i}}{N}$ $=\frac{1+2+3+4+5}{5}$ $=3$ \\ \\ SD $=\sqrt{\frac{(1-3)^{2}+(2-3)^{2}+(3-3)^{2}+(4-3)^{2}+(5-3)^{2}}{5}}$ $=\sqrt{\frac{10}{5}}$ $=\sqrt{2}$

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