Mode Median Mean Calculator
Mean Median Mode Calculator works out Count (n) and Sum from Data set, Quartile method and Outlier fence multiplier. 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 Mean Median Mode 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 Mean Median Mode Calculator
Enter Data set, Quartile method and Outlier fence multiplier. Count (n) updates as you type. 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.
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, Quartile method 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
How to use calculator for mean, median, and mode?
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.
How to calculate mean, median, and mode formula?
It needs Data set, Quartile method and Outlier fence multiplier. Nothing else is required, and the figures stay in your browser.
How to find mean, median, and mode in TI-84?
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 Mean Median Mode Calculator?
You need Data set, Quartile method 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 Mean Median Mode Calculator show?
It shows Count (n), Sum, Mean, Median, Mode, Modal values, Minimum and Maximum, with the working and any warnings for your entries.
Can I check how the Mean Median Mode Calculator result was calculated?
Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.