Standard Deviation Calculator
Standard Deviation Calculator computes the dispersion of a dataset from its mean, enabling statistical variance analysis for academic, financial, or research data.
Standard Deviation Calculator
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Descriptive Statistics
Count (N):8
Sum (Σx):144
Mean (μ):18
Population (Entire Group)
Standard Deviation (σ):4.8989795
Variance (σ²):24
Sample (Subset of Group)
Sample Standard Deviation (s):5.2372294
Sample Variance (s²):27.428571
What is Standard Deviation?
Standard deviation is a statistical measure that tells you how dispersed or spread out the numbers in a dataset are from the mean (average).
- Low Standard Deviation: The data points tend to be very close to the mean.
- High Standard Deviation: The data points are spread out over a large range of values.
Population vs. Sample
It is crucial to know whether your dataset represents an entire Population or just a Sample (a subset) of the population.
- Population Standard Deviation (σ): Used when you have data for every single member of the group you are studying. Formula divides by
N. - Sample Standard Deviation (s): Used when you only have a sample of the population. Formula divides by
N - 1(Bessel's correction) to provide an unbiased estimator.