# Sample Standard Deviation Calculator Calculate sample standard deviation from sample variance using the n - 1 denominator > Canonical page: https://elysiatools.com/en/tools/sample-standard-deviation-calculator - **Category:** Math & Numbers - **Keywords:** sample standard deviation, standard deviation, sample variance, statistics, n-1, spread ## Overview Calculate sample standard deviation for a numeric dataset. Sample standard deviation is the square root of sample variance: s = sqrt(sum((x - xbar)^2) / (n - 1)) Use it for sampled measurements, experiments, survey results, test scores, and any dataset intended to estimate spread in a larger population. ## Inputs - **Dataset** (textarea): e.g. 600, 470, 170, 430, 300 - **Decimal Places** (number) - **Include Population Comparison** (checkbox) ## When to use - When analyzing a subset of data to estimate the variability of an entire population. - When processing experimental measurements, survey responses, or quality control samples. - When you need precise control over decimal formatting and want to compare sample versus population metrics. ## How it works - Enter your numeric dataset as a comma-separated list in the input field. - Specify the number of decimal places required for your final result. - Toggle the population comparison option if you want to see how the sample standard deviation compares to the population standard deviation. - The tool calculates the mean, computes the squared differences, divides by n - 1, and returns the exact sample standard deviation. ## Use cases - Estimating the overall manufacturing tolerance based on a random sample of parts from an assembly line. - Analyzing the variability in student test scores from a single classroom to infer the performance of the entire grade. - Calculating the volatility of a stock's daily returns over a 30-day sample period. ## Frequently asked questions ### What is the difference between sample and population standard deviation? Sample standard deviation divides by n - 1 (Bessel's correction) to provide an unbiased estimate of a larger population. Population standard deviation divides by N and is used when you have data for every single member of the group. ### How should I format my dataset? Enter your numbers separated by commas. For example: 600, 470, 170, 430, 300. ### Why does the formula use n - 1? Using n - 1 instead of n corrects the bias in the estimation of the population variance, ensuring the sample standard deviation is a more accurate reflection of the true population spread. ### Can I adjust the precision of the result? Yes, you can set the Decimal Places option to round the calculated standard deviation to anywhere between 0 and 10 decimal places. ### What does the population comparison checkbox do? 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