Mean, Median, Mode & Range Calculator
Enter any set of numbers and get all four measures of central tendency with full step-by-step solutions, a sorted number line, and a visual frequency chart.
6.2
MEAN
6.5
MEDIAN
7
MODE
8
RANGE
Enter Your Data
Separate numbers with commas, spaces, or line breaks. Works with decimals and negatives.
Quick Examples
Mean (Average)
6.2
Sum ÷ count (N = 10)
Sum All Values
4 + 7 + 3 + 7 + 6 + 11 + 9 + 7 + 3 + 5 = 62
Divide By Count N
62 ÷ 10 = 6.2
Median (Middle)
6.5
Average of positions 5 & 6
Sort Data
3, 3, 4, 5, 6, 7, 7, 7, 9, 11
Average Two Middle Values
(6 + 7) ÷ 2 = 6.5
Mode (Most Common)
7
Appears 3×
Count Each Value
3: 2×, 4: 1×, 5: 1×, 6: 1×, 7: 3×, 9: 1×, 11: 1×
Highest Frequency = 3
7 (each appears 3×)
Range (Spread)
8
Max(11) − Min(3)
Find Minimum
Min = 3
Find Maximum
Max = 11
Subtract
11 − 3 = 8
Sorted Number Line — Mean, Median & Mode Positions
Sorted Data — Median ● Mode ●
Frequency Chart
When to Use Each Measure
Picking the right measure matters as much as calculating it correctly. Here's a quick guide to when each of the four gives you the most useful answer.
Mean
Best when data is roughly symmetric with no major outliers — test averages, heights, temperatures. Avoid it on skewed data, since a few extreme values can pull it far from where most values actually sit.
Median
Best when data is skewed or has outliers — income, home prices, wait times. It's robust: one extreme value barely moves the median, even though it can drag the mean a long way.
Mode
Best when you want the single most common value — a popular size, color, or survey response. It's the only one of the four measures that also works on non-numeric, categorical data.
Range
Best for a fast sense of total spread — temperature swings, score spans, price variation. It only looks at the two extremes, so for a fuller picture of spread pair it with standard deviation.
Mean, Median, Mode & Range Explained
These four measures describe where a data set is centered and how spread out it is — together they give a quick statistical snapshot of any list of numbers, and they're the foundation every deeper statistics topic builds on. Looking for variance, standard deviation, or quartiles instead? Those live in our standard deviation calculator. Need more measures beyond these four? Try the statistics calculator.
Formulas at a Glance
Mean: x̄ = (x₁ + x₂ + … + xₙ) ÷ nMedian: sort the data, then take the middle value (odd n) or average the two middle values (even n)Mode: the value(s) with the highest frequency — a data set can have none, one, or severalRange: max − min (measures total spread between the two extremes)Mean — the arithmetic average
Add up every value, then divide by how many values there are. Example: for 2, 4, 9 the sum is 15 and there are 3 values, so the mean is 15 ÷ 3 = 5.
Median — the middle value
Sort the values and find the one in the middle. Example: sorted 2, 4, 9 has 4 in the middle position, so the median is 4 — unaffected by how large or small the outer values are.
Mode — the most frequent value
Count how often each value appears; the one (or ones) with the highest count is the mode. Example: in 2, 4, 4, 9 the value 4 appears twice while others appear once, so the mode is 4.
Range — the total spread
Subtract the smallest value from the largest. Example: for 2, 4, 9 the range is 9 − 2 = 7, a quick read on how wide the data set stretches.
— FAQ