Mean vs median — which to use?

Mean uses every value (good for totals); median uses order (good for 'typical' with outliers). Report both when skewed.

How is the median found?

Sort low→high and take the middle; with even count, average the two middles. Example: 1,3,5,7 → (3+5)/2 = 4.

Max minus min — the spread. 68–91 gives range 23. Pair with mean/median to show consistency.

Can I paste from Excel?

Yes — copy a column or row; commas, tabs, spaces and line breaks all parse. Non-numbers are flagged with the offending value.

How many numbers can I average?

Up to 10,000 instantly in-browser. For larger datasets use a spreadsheet and quote the trio (mean/median/range) here for verification.

Math · Free tool

Average Calculator

Mean, median, range and count — paste any number list.

Average test score 72 — but is the class consistent or split between 95s and 50s? Mean (sum ÷ count) and median (middle value) answer different questions, and using the wrong one misleads: house prices quote medians (outlier-proof), cricket quotes means (every run counts), and teachers need both plus range to see spread. This average calculator takes any pasted list — commas, spaces or line breaks — and returns mean, median, min, max, range, sum and count with sorted values for verification.

Mean is sensitive: one billionaire in a room of ten makes the 'average wealth' ~£100M while the median stays ~£40k. Median resists skew by ignoring magnitude beyond order. Range (max − min) flags volatility at a glance. Together they form the honest trio every report should show instead of a lone 'average'. The tool sorts numerically (not alphabetically — so 10 > 9 correctly), handles decimals and negatives, and caps at 10,000 values for instant browser performance.

Paste numbers above (e.g. 72, 85, 91, 68, 77) and press Calculate. The sorted line lets you eyeball outliers before quoting the headline.

Updated 2026-09-01 · 6-min read · Formula + steps included

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Average formulas

mean = Σx ÷ n • median = middle of sorted (avg of two if even n) • range = max − min

Sum all values and divide by how many there are for the mean. Sort ascending; the central value (or mean of the central pair) is the median. Range subtracts smallest from largest. Count and sum are reported so readers can audit the mean directly.

Σx: Sum of all values. Decimals and negatives included exactly.
n: Count of values. Empty and non-numeric entries are rejected with guidance.
sorted: Values ordered low→high. First 100 shown for verification on large lists.

Worked example: 72, 85, 91, 68, 77

A student's five quiz scores:

Count n = 5; sum = 72+85+91+68+77 = 393.
Mean: 393 ÷ 5 = 78.6.
Sort: 68, 72, 77, 85, 91 → median (3rd of 5) = 77.
Min 68, max 91, range = 23.
Read: mean (78.6) > median (77) — slight high-end skew from the 91.

Result: Mean 78.6 — median 77 — range 23 (68–91) — n=5, sum 393.

How to use this average calculator

Paste, press, interpret.

Step 1: Paste numbers

Commas, spaces, semicolons or new lines all work. Copy straight from spreadsheets.

Step 2: Press Calculate

Mean, median, range, min/max, sum and count appear with the sorted list.

Step 3: Check the sorted line

Spot typos (e.g. 910 vs 91) and outliers before reporting — remove and rerun if needed.

Step 4: Quote the trio

Report 'mean 78.6, median 77, range 23' rather than 'average 78.6' for credibility.

Use cases

Choosing mean vs median correctly:

Grades

Mean rewards every mark; median shows the typical student. Report both when a few zeros skew the mean down.

Salaries & prices

Use median for 'typical' pay/house price (outlier-proof); mean for total budgets (sum matters).

Sport

Batting averages (means), median race times (weather-proof), and range for consistency narratives.

Business KPIs

Mean order value for revenue maths; median for 'typical basket'; range to spot fraud spikes.

Science labs

Mean of repeats ± range as uncertainty; median when a sensor glitches one reading.

Pro tips

Average like a statistician:

If mean ≫ median, investigate high outliers (and vice versa) before acting.
Trim extremes for noisy data: 10% trimmed mean often beats both plain mean and median.
Keep one extra decimal mid-work; round the headline (78.6, not 78.6000).
Weight when needed: module marks 40/60 need weighted mean, not plain average — note the weights explicitly.
Chart the sorted dots; a gap in the middle signals two groups, not one average.