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Calculate standard deviation, variance, and related statistics for a dataset. Supports both sample and population calculations.
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Standard Deviation Calculator
Calculate standard deviation, variance, and related statistics for a dataset. Supports both sample and population calculations.
Inputs
Enter the required values for the calculation
Results
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Enter values below to calculate
What is Standard Deviation?
Standard deviation measures the amount of variation or dispersion in a dataset. A low standard deviation indicates values are close to the mean, while high standard deviation indicates values are spread out. It is widely used in finance to measure volatility, in manufacturing for quality control, and in research to measure data reliability. Sample standard deviation (n-1) provides an unbiased estimate for population data.
How to use
Enter your dataset values separated by commas, spaces, or new lines. Select whether your data represents a sample (using n-1) or the entire population (using N). The calculator computes standard deviation, variance, mean, median, range, coefficient of variation, and other statistical measures.
Frequently Asked Questions
What is standard deviation?
Standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
What is the difference between Sample and Population?
Use 'Population' when your data set includes every member of the group you want to study. Use 'Sample' when your data represents a subset of a larger group. The calculation formulas differ slightly (Sample divides by N-1, while Population divides by N) to provide an unbiased estimate.
How do I input my data?
You can enter numbers separated by commas, spaces, or new lines. For example, you can paste a column directly from Excel or a CSV file. The calculator will automatically filter out non-numeric characters.
What is Variance?
Variance is the square of the standard deviation. It represents how far each number in the set is from the mean. While standard deviation is expressed in the same units as the original data, variance is expressed in those units squared.
Why is my result 0?
A standard deviation of 0 means that all the numbers in your data set are exactly the same. There is no variation or spread between the values.
What does Count (N) mean?
Count, often represented as 'N', simply refers to the total number of valid data points or observations you have entered into the calculator.
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