What Deviation is
Deviation is a measure of how spread out a set of data is. It is calculated by taking the difference between each data point and the mean, and then squaring the difference. The sum of all the squared differences is the variance, and the square root of the variance is the standard deviation.
Steps for Deviation:
- Calculate the mean of the data set.
- Subtract the mean from each data point.
- Square the differences.
- Sum all of the squared differences.
- Divide the sum of all the squared differences by the number of data points in the set.
- Take the square root of the result to get the standard deviation.
Examples
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An observation that lies far away from the predicted value or the average value of a set of data is an example of deviation in statistics.
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An outlier or an extreme data point that lies far away from the rest of the data points is an example of deviation in statistics.
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A notable difference in the distribution of data when compared to a standard distribution is an example of deviation in statistics.