Stat Calculator
Descriptive Statistics Calculator works out Count (n) and Sum from Data set, Headline statistic and Quartile method. The default figures on this page give mean of 5; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
8 steps
- Sorted data (n = 8): 2, 4, 4, 4, 5, 5, 7, 9
- Mean = 40 / 8 = 5
- Median = average of the two middle values = 4.5
- Sum of squared deviations SS = 32
- Sample variance = SS / (n - 1) = 32 / 7 = 4.57142857, so s = 2.13808994
- Population variance = SS / n = 32 / 8 = 4, so sigma = 2
- Quartiles (linear method): Q1 = 4, Q2 = 4.5, Q3 = 5.5, IQR = 1.5
- Outlier fences = Q1 - 1.5 x IQR = 1.75 and Q3 + 1.5 x IQR = 7.75
Modal valuestable
Outlierstable
Five-number summarytable
Sorted datatable
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
4 sources
What the Descriptive Statistics Calculator calculates
Computes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.
How to use this Descriptive Statistics Calculator
Enter Data set, Headline statistic, Quartile method and Percentile to report. Count (n) updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Count (n), Sum and Mean.
The method follows NIST/SEMATECH e-Handbook of Statistical Methods, section 1.3.5 Quantitative Techniques, Hyndman, R.J. & Fan, Y. (1996), "Sample Quantiles in Statistical Packages", The American Statistician 50(4), 361-365, Tukey, J.W. (1977), Exploratory Data Analysis, Addison-Wesley and Joanes, D.N. & Gill, C.A. (1998), "Comparing measures of sample skewness and kurtosis", The Statistician 47(1), 183-189.
The eight-value textbook set 2, 4, 4, 4, 5, 5, 7, 9 example
With Data set: 2,4,4,4,5,5,7,9, the calculator returns Count (n): 8, Sum: 40, Mean: 5. This example is checked against an independent source in the test suite.
What you can compare
Change one input at a time to see how it affects Count (n), Sum and Mean. The inputs you can vary are Data set, Headline statistic, Quartile method, Percentile to report and Outlier fence multiplier.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
Which calculator has stat?
Computes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles. Put your own figures in above and the working updates beside the result. For scale, the default figures on this page give 5.
How to find stat in calculator?
Computes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles. Open “How this is worked out” beside the result to see each step for your own figures.
Where is stat in TI-84?
It needs Data set, Headline statistic, Quartile method, Percentile to report and Outlier fence multiplier. Nothing else is required, and the figures stay in your browser.
How do you calculate at stat?
The result gives Count (n), Sum, Mean, Median, Mode and Modal values, each labelled with its unit so the figure can be read on its own.
What information do I need for the Descriptive Statistics Calculator?
You need Data set, Headline statistic, Quartile method, Percentile to report and Outlier fence multiplier. The page opens with default figures that give mean of 5, so you can see the scale before entering your own.
What does this Descriptive Statistics Calculator show?
It shows Count (n), Sum, Mean, Median, Mode, Modal values, Minimum and Maximum, with the working and any warnings for your entries.