math ToolUpdated 2026-09-19
Mean Median Mode Calculator
Analyze descriptive statistics for any series of numbers including central tendencies and dispersion metrics.
Formula & Mathematical Methodology
Mean = Σx/n; Median = Middle value; Mode = Most frequent value
Calculates the central tendencies across three classic statistical perspectives.
How to Use This Mean Median Mode Calculator
- Enter your dataset separated by commas.
- View mean, median, mode, minimum, maximum, and range.
Step-by-Step Worked Example
Scenario: 5, 8, 12, 12, 15, 18, 22
1. Sort dataset in ascending order
2. Mean: 92 ÷ 7 = 13.14
3. Median: 4th number is 12
4. Mode: 12 appears twice
Final Calculated Result: Mean: 13.14, Median: 12, Mode: 12
What Does Your Result Mean?
When mean and median are close, data distribution is symmetric. Outliers shift the mean away from the median.
Common Practical Applications:
- Real estate median price analysis
- Academic score distributions
- Scientific research
Important Limitations & Assumptions:
- Datasets without repeating values have no mode.
Frequently Asked Questions
When is median better than mean?
When data contains heavy skew or extreme outliers (e.g. household income or home prices).
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