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Average (Mean, Median & Mode) Calculator

Quickly calculate the core measures of central tendency for test grades, survey results, or laboratory measurements.

Separate numbers with commas or spaces.

Calculated Result
19.83

Arithmetic Mean (Average)

Mean (Average)

19.83

Median

20.00

Mode

22

Range

18

Total Sample Count

6

Calculation Breakdown

  1. Calculate Mean (Average)Sum (119) ÷ Count (6) = 19.83\bar{x} = \frac{\sum x_i}{n}
  2. Find Median (Middle Value)Middle ordered element = 20.00\text{Median} = \tilde{x}

Central Tendency Comparison

Interactive visualization based on your current inputs

Value
0.05.0101520MeanMedianMetricValue

What Is the Average (Mean, Median & Mode) Calculator?

An Average Calculator evaluates central tendencies of a numeric sequence.

How Does the Average (Mean, Median & Mode) Calculator Work?

Sorts data, sums elements, and counts frequencies.

Average (Mean, Median & Mode) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

xˉ=∑xin\bar{x} = \frac{\sum x_i}{n}

Sum divided by sample size.

How to Use the Average (Mean, Median & Mode) Calculator

  1. Paste numbers separated by commas.

Step-by-Step Example Calculation

Data: 12, 15, 18, 22, 22, 30

Input Values:

numbers:12, 15, 18, 22, 22, 30
Worked Steps: Mean is 19.83; Median is 20.00; Mode is 22.

Understanding Your Result

Shows mean, median, mode, and range.

Factors That Affect the Result

  • Outliers and sample size.

When Should You Use This Calculator?

  • Grading, statistics homework, and reporting.

Assumptions & Limitations

  • Valid numbers.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard statistical formulas.

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