Universal Calculator
TAIIR

Average Calculator

Calculate mean, median, mode, geometric mean, harmonic mean, range, RMS, and weighted average from any data set.

Separate values with commas, spaces, or new lines.

Average Formulas

Arithmetic Mean = Σx / n
Geometric Mean = (Πx)^(1/n)
Harmonic Mean = n / Σ(1/x)
Weighted Avg = Σ(w·x) / Σw

Mastering Averages: Choosing the Right Measure

Averages summarize data with a single representative value, but not all averages are created equal. This Professional Average Calculator provides a comprehensive suite of statistical measures—arithmetic mean, median, mode, geometric mean, harmonic mean, range, RMS, and weighted average—so you can choose the most appropriate metric for your data. Whether you're analyzing test scores, financial returns, or scientific measurements, this tool delivers instant, accurate results.

Arithmetic Mean vs. Median vs. Mode

  • Arithmetic Mean: The classic average (sum ÷ count). Sensitive to outliers.
  • Median: The middle value when sorted. Robust to outliers; ideal for skewed data (e.g., income).
  • Mode: The most frequent value. Useful for categorical data or identifying peaks.

💡 When to Use Geometric & Harmonic Means

Geometric mean is best for growth rates, percentages, and ratios (e.g., investment returns). Harmonic mean is ideal for rates and ratios with fixed numerators (e.g., average speed over equal distances). Both are always ≤ arithmetic mean.

Weighted Average: Accounting for Importance

When values contribute unequally, use a weighted average. Common applications include GPA calculation (credits as weights), portfolio returns (investment amounts as weights), and survey analysis (sample sizes as weights). The calculator allows you to add multiple value‑weight pairs for precise computation.

Frequently Asked Questions

What is the difference between mean, median, and mode?

Mean is the arithmetic average. Median is the middle value. Mode is the most frequent value. Median is best for skewed data; mode is useful for categorical data.

When should I use weighted average?

When values have different importance (e.g., grades with credit hours, investments with different amounts). The weight reflects relative contribution.

Can I calculate geometric mean with negative numbers?

No. Geometric mean requires all positive numbers. If negatives or zeros are present, the calculator shows "N/A".

How do I enter numbers?

Separate by commas, spaces, or new lines. Example: "85, 90, 78, 92, 88".

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