Calculate mean, median, mode, and range instantly from your data set. Enter numbers separated by commas and get complete statistical analysis with visual charts. Free online calculator with step-by-step explanations.
Please provide numbers separated by comma to calculate.
So you've got a bunch of numbers and you need to make sense of them. That's where this calculator comes in. It takes your list and finds four key things: the mean (average), median (middle value), mode (most common), and range (spread).
Students use this for homework. Scientists, business owners, and sports analysts use it too. Anyone who needs to understand a set of numbers quickly.
Step 1: Type or paste your numbers separated by commas. Like: 12, 15, 12, 18, 20, 15, 22
Step 2: Hit Calculate.
Step 3: Get mean, median, mode, and range instantly.
Add up all numbers, divide by count. Formula: sum ÷ count.
For test scores: (85+92+78+85+95+88+85+90) ÷ 8 = 698 ÷ 8 = 87.25
Use it when: data is balanced. Avoid when: outliers exist — a $10M salary skews the average.
Sort numbers, pick the middle.
Odd count: Pick the middle. 1, 3, 5, 7, 9 → median = 5.
Even count: Average the two middle. 1, 3, 5, 7 → (3+5)÷2 = 4.
Best when outliers exist. Why median home prices are used — mansions don't distort it.
Number appearing most often. 85 shows up 3 times → mode = 85.
No repeats: non-modal. Two tied: bimodal. Three+: multimodal.
Great for categories — most popular shoe size, most common grade.
Largest minus smallest. 95 - 78 = 17.
Quick spread measure. Small = tight cluster. Big = scattered. Sensitive to outliers.
Mean=78, Median=80, Mode=85, Range=45. Half scored above 80. Mode of 85 is most common. Range of 45 = big spread — some struggled, some excelled.
Mean=$495, Median=$497.50, Mode=$490 & $510 (bimodal), Range=$80. Consistent sales (small range). Bimodal suggests weekday vs weekend patterns.
Mean=15.1 ppg, Median=14.5, Mode=12, Range=8. Solid scoring, consistent — small range means no huge swings game to game.
#1: Forgetting to Sort for Median
Must sort smallest→largest first. Our calculator does this automatically.
#2: Confusing Mean and Median
"Mean" = average. "Median" = middle. Both have "M" and "di" — "meDIan" = "miDDle".
#3: Saying No Mode When There Are Ties
Two numbers tied = both are modes (bimodal). Our calculator handles this correctly.
#4: Forgetting to Count All Numbers
Missing one number throws off the mean. Double-check your count.
Negative numbers? Works fine. Mean and median can be negative. Range is always positive.
Decimals? Perfectly fine. Mean often becomes a decimal even with whole numbers.
Why all four? No single measure tells the whole story. Mean=center, Median=middle (outlier-resistant), Mode=typical, Range=spread. Together they paint the full picture.
"Mean" comes from French "moyen" meaning "middle" — but in statistics, the mean isn't always in the middle. That's the median's job. Language is weird.
In a perfectly symmetrical distribution (bell curve), the mean, median, and mode are all the same number. Most natural phenomena follow this — like heights or well-designed test scores.
Mean is the average (sum ÷ count). Median is the middle value when sorted. Mean gets pulled by outliers; median stays in the middle.
Take the two middle numbers and average them. In 2, 4, 6, 8 → (4+6)÷2 = 5. Our calculator does this automatically.
No repeats = non-modal. Even one number appearing twice creates a mode. Two tied = bimodal.
Yes. 1, 2, 4 → 7÷3 = 2.33. The sum doesn't always divide evenly by the count.
The median is the middle of ordered data. Without sorting, you'd pick the wrong number.
Quick spread check. Small range = consistent data. Big range = scattered. Sensitive to outliers.
Mean: sum ÷ count. Median: sort, find middle. Mode: most frequent. Range: largest − smallest.
Two modes — two numbers appear the same number of times, both more than any other. Like having two most-common values in your data set.