Statistics Calculator

Works out a full summary of a set of numbers in one pass: count, sum, mean, median, every tied mode, minimum, maximum, range, variance and standard deviation for both a population and a sample, and the quartiles with the interquartile range. Separate the numbers with commas, spaces, or new lines.

Ad placeholder: Resp_Horizantal_1 (horizontal)
Ad placeholder: Resp_Square_1 (square)

Works out a full summary of a set of numbers in one pass: count, sum, mean, median, every tied mode, minimum, maximum, range, variance and standard deviation for both a population and a sample, and the quartiles with the interquartile range. Separate the numbers with commas, spaces, or new lines.

Use cases

  • Summarising a column of measurements without a spreadsheet
  • Checking homework answers for a descriptive statistics question

Examples

Four values

2, 4, 4, 5
{"count": 4, "sum": 15.0, "mean": 3.75, "median": 4.0, "modes": [4.0], "mode_count": 2, "min": 2.0, "max": 5.0, "range": 3.0, "population_variance": 1.1875, "population_stddev": 1.0897, "sample_variance": 1.5833, "sample_stddev": 1.2583, "q1": 3.5, "q2": 4.0, "q3": 4.25, "iqr": 0.75}

FAQ

Is my data sent to a server?

Yes — the calculation runs on the server for this tool.

What is the difference between population and sample?

Population statistics divide by n and describe the whole group. Sample statistics divide by n - 1 and estimate a larger population from a sample, so they need at least two values.

Which quartile method is used?

The inclusive method, matching PERCENTILE.INC in Excel and Google Sheets, so the quartiles agree with what a spreadsheet reports.