Deviation
A deviation is how far one data value sits from the mean, found by subtracting the mean from that value.
A deviation describes a single observation rather than the whole data set, and you write it as , where (x-bar) is the mean. A positive deviation puts the value above the mean and a negative deviation puts it below. In the data 2, 4, 6, 8 the mean is 5, so the four deviations are -3, -1, 1, and 3. They add to zero, which is true for every data set and is exactly why the variance squares the deviations before adding them up.
Where this comes up
- How to calculate standard deviation by handGuide
- Standard error vs standard deviation explainedGuide
- Standard deviation vs IQR: which spread to useComparison
- Standard deviation vs variance: the differenceComparison
- Why divide by n - 1 for sample standard deviation?Guide
- What does standard deviation actually mean?Guide
- Standard deviation and variance practice problemsPractice
- How to find standard deviation on TI-84: Sx vs sigma-xGuide
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