Paste the dataset once and compare the measures together.
Enter numbers separated by commas, spaces, semicolons, or line breaks. FigureNest parses the values in your browser and updates the results immediately. Seeing the center and spread together is more useful than looking at one statistic in isolation: the mean can be pulled by extreme values, the median can better represent a skewed dataset, the range shows only the two endpoints, and standard deviation uses every value's distance from the mean.
No dataset is uploaded to a FigureNest calculation service. The page works from the values currently in the browser. Standard site analytics or advertising requests may still occur according to your consent settings, but the calculator does not need to send the dataset as a calculation payload.
Population versus sample standard deviation.
Population standard deviation (σ) divides the total squared deviation by N, the number of values. Use it when the entered values are the entire population you intend to describe. Sample standard deviation (s) divides by n − 1. That Bessel correction is commonly used when a sample is being used to estimate the spread of a wider population.
For a one-value dataset, population variance and standard deviation are zero because there is no spread within that population. Sample variance and sample standard deviation are shown as N/A because the n − 1 denominator would be zero.
What the calculator is doing.
x̄ = Σx / nAdd every value and divide by the count.
σ² = Σ(x − μ)² / NAverage the squared deviations from the population mean.
s² = Σ(x − x̄)² / (n − 1)Use n − 1 when the entered observations are a sample of a larger population.
σ = √σ² · s = √s²Take the square root of the corresponding variance.
How Q1, Q3 and IQR are calculated here.
FigureNest sorts the data first. The median is the middle value, or the average of the two middle values when the count is even. For quartiles, the dataset is split around the median; when the count is odd, the overall median is excluded from the lower and upper halves. Q1 is the median of the lower half, Q3 is the median of the upper half, and IQR is Q3 − Q1. Other software can use different quartile conventions, so small datasets may produce different Q1/Q3 values under another method even when the mean and standard deviation agree.
What a larger standard deviation means.
Standard deviation is measured in the same units as the original data. A value near zero means the observations are tightly clustered around the mean; a larger value means they are more spread out. Whether a particular standard deviation is “large” depends on the scale and context of the data. Comparing standard deviations is most meaningful when the datasets use the same units and represent comparable quantities.
These are descriptive calculations. They do not establish causation, prove that a sample is representative, identify data-entry errors, or determine whether a distribution is normal. For formal statistical inference, the study design and assumptions matter as much as the arithmetic.
Statistics calculator questions.
Should I use sample or population standard deviation?
Use population standard deviation when your dataset is the complete population you want to describe. Use sample standard deviation when those observations are a sample used to estimate variability in a larger population.
What happens if there is no repeated value?
The calculator reports No mode. A mode is only reported when at least one value occurs more often than the others.
Can a dataset have more than one mode?
Yes. If several values share the same highest frequency and that frequency is greater than one, FigureNest lists all of them.
Why is geometric mean sometimes N/A?
The geometric mean shown here uses logarithms and is only calculated when every entered value is strictly positive. Zero or negative values make that real-valued method unsuitable.
Why can quartiles differ between calculators?
There are several accepted quartile conventions. FigureNest uses the median-of-halves method and excludes the overall median from both halves when the dataset has an odd number of observations.
Does FigureNest upload my dataset?
No calculation server is required. Parsing and statistical calculations happen in the browser.
Continue with related math tools.
Mean, Median, Mode & Range Calculator is the simpler center-and-range tool. Confidence Interval Calculator estimates an interval around a sample mean. Probability Calculator handles simple and independent-event probability. Scientific Calculator covers arithmetic and scientific functions.