Average Calculator

The average calculator finds the arithmetic mean, geometric mean, and harmonic mean of a set of numbers, along with sum, count, median, minimum, maximum, and range.

• Values can be pasted in bulk, comma-, space-, or newline-separated, and each one is normalized to a plain number automatically. Accepted formats include integers, decimals, fractions (for example, 1/2), currency (for example, $1,234.50), numbers with thousand separators (for example, 1,234), and percentages (for example, 12%).
• Decimal places on the output are adjustable from 0 to 10, matching the precision a class, policy, or report requires.

The formulas behind the results:

• Arithmetic mean: mean = (x₁ + x₂ + … + xₙ) / n
• Geometric mean (all values > 0): G = (x₁ × x₂ × … × xₙ)^(1/n)
• Harmonic mean (no value = 0): H = n / (1/x₁ + 1/x₂ + … + 1/xₙ)
• Median: sort the values; if n is odd, the middle value is the median; if even, the median is the average of the two middle values.
• Range: max − min
• Parsing: fractions convert directly (for example, 3/4 becomes 0.75), and currency and percent symbols are stripped before the value is parsed. Thousand-separator commas are recognized and are not misread as decimal points.

Averages and summary statistics support quick, data-driven decisions in work, study, and daily planning.

• Compare pricing or budgets by averaging mixed entries such as $-formatted amounts and fractions from invoices.
• Summarize class scores or survey data with mean and median to assess performance and outliers.
• Analyze growth rates or multiplicative datasets with the geometric mean for balanced comparisons.
• Evaluate rates and ratios (for example, speeds or cost per unit) with the harmonic mean when averaging reciprocals is appropriate.
• Spot dispersion quickly using largest, smallest, and range to gauge variability.
• Produce clean reports with a chosen decimal precision and plain-text formulas and results.

The average calculator turns a list of numbers into arithmetic mean, geometric mean, harmonic mean, median, sum, count, minimum, maximum, and range. It handles currency, fractions, and percentages mixed in the same dataset, which speeds up homework checks, budget comparisons, and quick data analysis without a spreadsheet.

Numbers with thousand separators, negative values, and decimals all parse correctly. N/A appears in place of a specific mean when it does not apply, such as geometric mean with a non-positive value or harmonic mean with any zero in the set.

Decimal places can be set to match a class, policy, or reporting standard. The results table shows variation, extremes, and how the dataset behaves as a whole.

Arithmetic mean adds the values and divides by count; use it for general comparisons. Geometric mean averages multiplicative data and requires all values to be positive; use it for growth rates and ratios. Harmonic mean averages rates and requires no zero values; use it for speeds and cost per unit. Median is the middle value and resists outliers. Range is spread, measured as maximum minus minimum. Count is how many valid numbers were parsed. Sum is the total of all values.

• Budgeting: Averaging monthly expenses such as $1,245.75, $980, and 1,100 at 2 decimal places gives an arithmetic mean for a typical month, with minimum, maximum, and range showing the spread.
• Class scores: Grades of 88, 92, 77, 95, and 90 give a median that reduces the effect of one low score, while the range shows variability across students.
• Growth analysis: Annual growth multipliers such as 1.05, 1.08, and 0.97 average correctly under the geometric mean, which accounts for compounding across years in a way the arithmetic mean does not.

What inputs does the average calculator support? Integers, decimals, negative values, fractions like 3/4, currency such as $1,234.50, and percentages like 12% all parse as numeric values once symbols and separators are stripped.

Why does the geometric or harmonic mean show N/A? The geometric mean requires every value to be greater than zero. The harmonic mean cannot include a zero, since that means dividing by zero. Removing or correcting the invalid entries restores the calculation.

How do rounding and formatting work? Decimal places control display precision. Outputs are formatted with thousand separators for readability while the underlying calculation keeps full floating-point accuracy.

Can very large or very small numbers be included? Yes. Standard floating-point arithmetic covers a wide numeric range. For high-precision work, decimal places should match the reporting or scientific requirement at hand.