Mean Median Mode Calculator
Calculate mean, median, mode, and range from any list of numbers.
Separate values with commas, spaces, semicolons, or new lines. Use a dot for decimals (2.5). Thousands separators are not supported: 1,000 is read as 1 and 0. Negatives and scientific notation (1.2e3) work.
Try a sample dataset
Applies to calculated statistics. Sorted data, modes, and the frequency table show your exact values.
4 values: mean 4.5, median 3, mode 3.
Mean
4.5
Arithmetic average.
Median
3
Average of values 2 and 3 of 4 when sorted.
Mode
3
Appears 2 times.
Range
8
Maximum minus minimum.
Sum
18
All values added together.
Count
4
Values included.
Minimum
2
Maximum
10
Mode frequency
2
Sorted data
2, 3, 3, 10
Frequency table
Showing 3 of 3 distinct values.
Mean, Median, Mode, and Range Formulas
Mean
Mean = Sum of Values ÷ Number of Values
Notation
Mean = (x₁ + x₂ + ... + xₙ) ÷ n
Median
Median = middle value after sorting
Even count median
Median = average of the two middle values
Mode
Mode = most frequently occurring value
Range
Range = Maximum Value − Minimum Value
Variable Explanations
x
Each value in the dataset.
n
Number of values.
Sum
All values added together.
Mean
Arithmetic average.
Median
Middle value after sorting.
Mode
Most frequent value.
Range
Maximum minus minimum.
Frequency
How often a value appears.
Mean vs Median vs Mode Explained
Mean
Shares the total evenly across all values.
Median
Identifies the middle of the sorted dataset.
Mode
Identifies the most common value.
Range
Shows spread, not center.
Worked Examples
2, 3, 3, 10
Sorted: 2, 3, 3, 10
Rule: Mean = 18 ÷ 4, Median = (3 + 3) ÷ 2, Mode = 3
Answer: Mean = 4.5, Median = 3, Mode = 3
1, 2, 3, 4
No value repeats
Rule: Each value appears once
Answer: No mode
1, 1, 2, 2, 3
Two values repeat most
Rule: 1 and 2 both appear twice
Answer: Modes = 1 and 2
4, 8, 10, 12
Even count
Rule: Median = (8 + 10) ÷ 2
Answer: Median = 9
1.5, 2.5, 3.5
Decimal dataset
Rule: Mean = 7.5 ÷ 3
Answer: Mean = 2.5
-5, -1, 2, 4
Includes negatives
Rule: Sum = 0, Count = 4
Answer: Mean = 0
2, 3, 3, 100
Outlier present
Rule: 100 pulls the mean upward
Answer: Median may better represent the center
10, 10, 10, 90
Compare center measures
Rule: Mean = 30, Median = 10
Answer: Mean and median differ because of skew
Range, Outliers, and Skewed Data
Range
Shows the spread between lowest and highest values.
Outliers
Can pull the mean up or down.
Median
Often more stable with outliers.
Mode
Useful for repeated values or categories.
Same mean, different spread
Two datasets can share a mean but vary widely.
Best measure
The best statistic depends on the question.
Common Statistics Mistakes
Understanding Your Results
Mean
What each value would be if the total were shared evenly.
Median
The middle of the sorted dataset.
Mode
The most repeated value.
Range
The spread between lowest and highest value.
Sum
All values added together.
Count
Number of values included.
Minimum and maximum
Smallest and largest values.
Frequently Asked Questions
Add all values together, then divide by the number of values.
Sort the values from smallest to largest. The median is the middle value, or the average of the two middle values when there is an even count.
Count how often each value appears. The mode is the value or values that appear most often.
Mean is the arithmetic average, median is the middle value, and mode is the most frequent value.
Yes. If no value repeats, so every value appears exactly once, the dataset has no mode. If two or more values tie for the highest frequency, such as 1, 1, 2, 2, each of them is a mode.
Yes. If multiple values tie for the highest frequency, the dataset is multimodal.
Sort the dataset, take the two middle values, add them together, and divide by 2.
Range is the maximum value minus the minimum value. It shows the spread from lowest to highest.
Median is often more stable when a dataset has outliers or skewed values.
Yes. This calculator supports negative numbers, decimals, and scientific notation such as 1.2e3. Use a dot as the decimal separator (2.5), because commas separate values.
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