Math, Science & Engineering 100% Local Processing Limit: Up to 5,000 Numbers

Mean, Median, Mode & Range Calculator

Calculate arithmetic mean, median, mode, range, variance, standard deviation, and IQR with step-by-step solutions.

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Data Set

0 numbers

Descriptive Statistics

Mean (Average)
0
Median
0
Mode
0
Range
0
Enter data to calculate variance and standard deviation.
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How to Use the Mean, Median, Mode & Range Calculator

  1. 1
    Enter numbers separated by commas, spaces, or line breaks (e.g. `12, 15, 18, 15, 22, 30, 15`).
  2. 2
    The calculator sorts your dataset and computes: Mean (Average), Median (Middle value), Mode (Most frequent), Range, and Count.
  3. 3
    Inspect advanced statistics: Sample Variance ($s^2$), Population Variance ($sigma^2$), Standard Deviation, and Quartiles (Q1, Q3, IQR).
  4. 4
    Review step-by-step arithmetic explanations.

Practical Example & Use Case

Common Real-World Scenario

Analyzing test scores `75, 82, 90, 82, 68, 94` yields a Mean of 81.8, Median of 82.0, Mode of 82, and Range of 26.

Technical Notes & Limitations

Browser Engine Architecture

Calculates high-precision floating-point statistics in browser memory.

Frequently Asked Questions

Can a dataset have more than one mode?

Yes. If two values share the highest frequency, the dataset is bimodal; if three or more, it is multimodal.