Take the square root of the result to obtain the standard deviation. Divide by the number of data points (for population) or by one less than the number of data points (for sample).
Standard Deviation Formula Results Interpretation
Illustrative Example Consider a dataset of exam scores: 85, 90, 78, 92, and 88. A low standard deviation indicates that the data points tend to be close to the mean, while a high standard deviation suggests that the values are spread out over a wider range.
It is crucial to select the correct formula variant and ensure data is appropriately sampled to maintain the integrity of the results. The mean is 86.
Standard Deviation Formula Results Interpretation
In a normal distribution, about 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99. For a sample, dividing by 4 (5-1) gives a variance of 29.
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