Average Calculator

Calculate mean, median, mode & more

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About Average Calculator

An average calculator that computes multiple types of averages from a list of numbers: arithmetic mean, median, mode, weighted average, geometric mean, and harmonic mean. Shows each calculation with explanation, handles weighted inputs, and provides statistical context. All processing is client-side. Essential for students, data analysts, researchers, and anyone working with statistical data.

Average Calculator Features

  • 6 average types
  • Weighted average
  • Statistical context
  • Step-by-step
  • Flexible input
There are many types of 'averages' and choosing the right one matters. Arithmetic mean is most common, but median is better for skewed data, mode for categorical data, geometric mean for growth rates, and harmonic mean for rates and ratios.

How to Use

Enter your numbers:

  • Input: Comma or space-separated values
  • Weights: Optional weights for weighted average
  • Results: All average types simultaneously

Types of Averages

  • Arithmetic mean: Sum / count (most common)
  • Median: Middle value when sorted
  • Mode: Most frequent value
  • Geometric mean: nth root of product
  • Harmonic mean: n / sum of reciprocals
  • Weighted: Sum(value × weight) / sum(weights)

When to Use Each

  • Mean: Normally distributed data
  • Median: Skewed data, salaries, home prices
  • Mode: Most popular item, shoe sizes
  • Geometric: Growth rates, compound interest
  • Harmonic: Speed averages, P/E ratios

Step-by-Step Instructions

  1. 1Enter numbers separated by commas or spaces.
  2. 2View all average types.
  3. 3Add weights for weighted average.
  4. 4Compare different types.
  5. 5Check which average is most appropriate.

Average Calculator — Frequently Asked Questions

When should I use median instead of mean?+

When data is skewed by outliers. Example: salaries [30k, 35k, 40k, 45k, 500k] → mean=130k (misleading), median=40k (representative).

What is the geometric mean used for?+

Growth rates and multiplicative processes. If an investment grows 10%, 20%, 30% over three years, geometric mean gives the equivalent constant rate: ³√(1.1 × 1.2 × 1.3) - 1 ≈ 19.7%.

Can a dataset have multiple modes?+

Yes. A dataset is bimodal (2 modes), trimodal (3), or multimodal. If no value repeats, there is no mode.

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