high School⏱ 4 min

Standard Deviation

Measure of data spread

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x̄=5.00±σ=2.002 (dev=-3.0)4 (dev=-1.0)4 (dev=-1.0)4 (dev=-1.0)5 (dev=0.0)5 (dev=0.0)7 (dev=2.0)9 (dev=4.0)
σ2=∑(x−xˉ)2n=4.000\sigma^2 = \frac{\sum(x-\bar{x})^2}{n} = 4.000
σ=2.0000\sigma = 2.0000

Standard deviation σ measures how spread out data is around the mean. The colored lines show each point's deviation from the mean.