Which statistics does the calculator compute?

It computes mean, median, mode (including multi-modal datasets), range, variance, population standard deviation (σ), sample standard deviation (s), sum, and count – all in a single calculation.

How do I enter my numbers?

Paste or type numbers separated by commas, spaces, or new lines. Decimal numbers (e.g., 3.14) and negative values (e.g., -7) are fully supported.

What if my dataset has multiple modes?

If the dataset is bimodal or multimodal, all mode values are listed. If no value repeats, the dataset is described as having no mode.

How accurate are the statistical results?

Results are computed with floating-point arithmetic to high precision. For very large datasets or numbers with many decimal places, minor rounding at the last digit is normal and expected.

Why does my standard deviation differ from Excel?

Excel's STDEV function computes sample standard deviation (divides by n-1), while STDEVP uses population standard deviation (divides by n). Make sure you are comparing the same formula type.

Average Calculator – Mean, Median, Mode & Std Dev Free

Compute mean, median, mode, range, variance, and standard deviation for any list of numbers – paste your data and get full descriptive statistics in one click.

Enter Numbers

Supports comma, space, semicolon, or newline separation

Examples:

Statistics Explained

Mean: Sum of all values divided by count

Median: Middle value when sorted

Mode: Most frequently occurring value

Range: Difference between max and min

Std Dev: Measure of data spread around the mean

What is this tool?

An Average Calculator is a free statistical tool that computes a complete set of descriptive statistics for any list of numbers in one step. It calculates the mean (arithmetic average), median (middle value), mode (most frequent value), range, variance, population and sample standard deviation, sum, and count. Students studying statistics, mathematics, or data science use it to analyze datasets quickly; teachers use it to demonstrate measures of central tendency; and researchers use it to get rapid summary statistics before running deeper analysis.

How to use this tool?

1. Enter or paste your numbers into the input field, separated by commas, spaces, or line breaks (e.g., 12, 15, 8, 22, 15, 9). 2. The tool automatically parses the values – negative numbers and decimals are supported. 3. Click "Calculate" to compute all descriptive statistics at once. 4. Review the results: mean, median, mode(s), range, variance, standard deviation, sum, and count. 5. Note whether you need the population or sample standard deviation (σ vs s) and select accordingly. 6. Use the results for homework, exam preparation, or as a quick sanity-check before deeper statistical analysis.

Frequently Asked Questions

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