Mean, Median, Mode Calculator
Calculate and compare the three main measures of central tendency.
Separate numbers with commas or spaces
Sorted data (n = 9)
Mean
17.22
x̄
Median
20.00
M
Mode
20
Mo
Sum
0,00
Range
0,00
Value frequency
How they're calculated
Mean (x̄)
Add all and divide: 155 / 9 = 17.22
Median (M)
Value at position 5 = 20.00
Mode (Mo)
20 appears 3 times (maximum frequency)
Differences between the three
Mean uses all values and is sensitive to extremes. Median is the central value and resists outliers. Mode is the most frequent value and may not exist or there may be several.
When to use each
Mean: symmetric data without extremes (temperatures). Median: data with outliers (salaries, prices). Mode: categorical data or to find the most common (clothing sizes).
Distribution skewness
In symmetric distribution, mean ≈ median ≈ mode. If mean > median, there's positive skew (right tail). If mean < median, there's negative skew (left tail).