Statistics Calculator

StatCalc.net provides this free Statistics Calculator for finding the statistic you need from a dataset, plus 104 other statistics calculators with step-by-step solutions. View all statistics calculators.

StatCalc Statistics Calculator

This statistics calculator lets you enter or paste numerical data and calculate the specific statistic you need. Enter your data once, then select the mean, median, mode, variance, standard deviation, quartiles, standard error, skewness, kurtosis, or another available statistic to get instant result.

Separate values with commas, spaces, tabs, or new lines.
Basic
Center & Position
Variation & Error
Other Statistics
Mean, x̄
x̄ = Σx / n
n = 5
18

How to Use the Statistics Calculator

This statistics calculator lets you enter a set of numerical values and calculate the specific statistic you need. You can find the mean, median, mode, variance, standard deviation, quartiles, sums, standard error, coefficient of variation, skewness, kurtosis, and several other statistics from the same dataset.

To use the calculator:

  1. Enter the data into the input field and make sure to separate them using commas, spaces, tabs, or line breaks. You can also paste values directly from Excel, Google Sheets, or text documents.
  2. Select the statistic you want to calculate.

The calculator instantly displays the result along with the formula used to calculate your selected statistic, where applicable.

Unlike the Descriptive Statistics Calculator, which calculates and displays multiple statistics at once, this Statistics Calculator gives you more control. You can enter your data once and then select only the statistic you want to calculate. For instance, you can calculate the mean first and then use the same data to find the sample standard deviation, variance, sum of squares, or another statistic without entering the values again.

Example

Suppose a researcher selects a sample of seven observations:

10, 11, 17, 8, 9, 12, 5

Find the sample standard deviation.

Solution

To find the sample standard deviation using the statistics calculator:

  1. Copy and paste the values into the Data Values input field.
  2. Select Sample SD (s).
  3. Check the answer box. The calculator gives Sample Standard Deviation, s = 3.728909.

Want to calculate another statistic using the same data? You do not have to enter the values again. Simply select the statistic you need and check the answer box for the new result.

Common Statistics Formulas

The table below summarizes the formulas for many of the statistics supported by the calculator. If you need a detailed calculation with step-by-step working, use the related calculator where available.

StatisticFormulaRelated Calculator
Number of valuesnumber of observations—
SumΣx=x1+x2+⋯+xn\Sigma x=x_1+x_2+\cdots+x_n—
Sum of squared valuesΣx²Sum of Squares Calculator
Sum of squared deviationsΣ(x−x‾)2\Sigma(x-\bar{x})^2Sum of Squares Calculator
Meanx‾=Σxn\bar{x}=\frac{\Sigma x}{n}Mean Calculator
Median, odd (n)Median=xn+12\text{Median}=x_{\frac{n+1}{2}}Median Calculator
Median, even (n)Median=xn2+xn2+12\text{Median}=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}Median Calculator
ModeValue or values with the highest frequencyMode Calculator
Minimummin⁡(x1,x2,…,xn)\min(x_1,x_2,\ldots,x_n)—
Maximummax⁡(x1,x2,…,xn)\max(x_1,x_2,\ldots,x_n)—
RangeRange = Maximum – MinimumRange Calculator
First quartileQ1=P25Q_1=P_{25}Quartile Calculator
Third quartileQ3=P75Q_3=P_{75}Quartile Calculator
Interquartile rangeIQR=Q3−Q1IQR=Q_3-Q_1Interquartile Range Calculator
MidrangeMidrange = (Min + Max)/2Midrange Calculator
Population varianceσ2=Σ(x−μ)2N\sigma^2=\frac{\Sigma(x-\mu)^2}{N}Variance Calculator
Sample variances2=Σ(x−x‾)2n−1s^2=\frac{\Sigma(x-\bar{x})^2}{n-1}Variance Calculator
Population standard deviationσ=Σ(x−μ)2N\sigma=\sqrt{\frac{\Sigma(x-\mu)^2}{N}}Standard Deviation Calculator
Sample standard deviations=Σ(x−x‾)2n−1s=\sqrt{\frac{\Sigma(x-\bar{x})^2}{n-1}}Standard Deviation Calculator
Standard errorSE=snSE=\frac{s}{\sqrt{n}}Standard Error Calculator
Coefficient of variationCV=sx‾×100CV=\frac{s}{\bar{x}}\times100%Coefficient of Variation Calculator
Mean absolute deviationMAD=Σ|x−x‾|nMAD=\frac{\Sigma\lvert x-\bar{x}\rvert}{n}Mean Absolute Deviation Calculator
Median absolute deviation MAD= median(|x-median(x)|)Median Absolute Deviation Calculator
Geometric meanGM=x1x2⋯xnnGM=\sqrt[n]{x_1x_2\cdots x_n}Geometric Mean Calculator
Harmonic meanHM=nΣ(1/x)HM=\frac{n}{\Sigma(1/x)}Harmonic Mean Calculator
Root mean squareRMS=Σx2nRMS=\sqrt{\frac{\Sigma x^2}{n}}Root mean square calculator
Population skewnessγ1=1NΣ(x−μσ)3\gamma_1=\frac{1}{N}\Sigma\left(\frac{x-\mu}{\sigma}\right)^3Skewness Calculator
Sample skewnessG1=n(n−1)(n−2)Σ(x−x‾s)3G_1=\frac{n}{(n-1)(n-2)}\Sigma\left(\frac{x-\bar{x}}{s}\right)^3Skewness Calculator
Population excess kurtosisγ2=1NΣ(x−μσ)4−3\gamma_2=\frac{1}{N}\Sigma\left(\frac{x-\mu}{\sigma}\right)^4-3Kurtosis Calculator

The sample excess kurtosis formula is: G2=n(n+1)(n−1)(n−2)(n−3)Σ(x−x‾s)4−3(n−1)2(n−2)(n−3)G_2=\frac{n(n+1)}{(n-1)(n-2)(n-3)}\Sigma\left(\frac{x-\bar{x}}{s}\right)^4-\frac{3(n-1)^2}{(n-2)(n-3)}

You do not need to use these formulas manually when using the Statistics Calculator. Enter your dataset once and select the statistic you want to calculate. The individual calculators linked above are useful when you want to see how a particular result is obtained step by step.

Frequently Asked Questions

What is a statistics calculator?

A statistics calculator is an online tool that calculates statistical measures from numerical data. Depending on the statistic selected, it can find values such as the mean, median, mode, variance, standard deviation, range, quartiles, standard error, skewness, and kurtosis.

What does this statistics calculator do?

This calculator lets you paste a numerical dataset and select the individual statistic you want to calculate. It also includes useful calculation quantities such as n, Σx, Σx², and Σ(x − x̄)², which frequently appear in statistics formulas.

Can I paste data from Excel or Google Sheets?

Yes. You can copy a column of numerical values from Excel or Google Sheets and paste it directly into the calculator. It accepts commas, spaces, tabs, and line breaks as separators.

Why might my quartile result differ from another calculator?

Different quartile methods can give slightly different Q₁ and Q₃ values. This calculator uses the median-of-halves method, excluding the overall median when the number of observations is odd.

Is this statistics calculator free?

Yes. You can use the calculator to enter your data and calculate the available statistics without creating an account.

About This Calculator

This calculator was developed by the StatCalc.net Team and statistically reviewed by , Senior Statistician & Editor.

Formulas, calculation logic, worked examples, and explanatory content are reviewed for statistical accuracy and clarity.

Last updated
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StatCalc.net. (2026, October 6). Statistics Calculator. Retrieved October 15, 2026, from https://statcalc.net/