Statistics Calculator

Calculate statistics using your data.

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What this tool does

Calculate statistics using your data. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).

How to use the Statistics Calculator

  1. Enter or select numbers (comma or whitespace separated).
  2. Read the calculated result; change any measurement to compare alternatives.

Formula

mean, median, mode, sample/population variance and SD, quartiles (linear interpolation), IQR, sum and count for one data set
data
Numbers (comma or whitespace separated)

All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).

Worked example

For statistics calculator, the following measurements illustrate the exact method: Numbers (comma or whitespace separated): 2,4,4,4,5,5,7,9.

Inputs

  • Numbers (comma or whitespace separated)2,4,4,4,5,5,7,9

Result

  • Mean5
  • Median4.5
  • Mode4
  • Sample standard deviation2.14
  • Population standard deviation2
  • Sample variance4.57
  • First quartile (Q1)4
  • Third quartile (Q3)5.5
  • Interquartile range (IQR)1.5
  • Range7
  • Sum40
  • Count8

Results explained

Mean
Mean from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Median
Median from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Mode
Mode from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Sample standard deviation
Sample standard deviation from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Population standard deviation
Population standard deviation from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Sample variance
Sample variance from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
First quartile (Q1)
First quartile (Q1) from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Third quartile (Q3)
Third quartile (Q3) from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Interquartile range (IQR)
Interquartile range (IQR) from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Range
Range from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Sum
Sum from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).
Count
Count from the formula above. All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).

Frequently asked questions

mean, median, mode, sample/population variance and SD, quartiles (linear interpolation), IQR, sum and count for one data set

All-in-one descriptive summary. Quartiles use linear interpolation on the sorted data (the type-7 method, as in Excel QUARTILE.INC and NumPy's default).

Enter numbers only, in the units and format each label describes. Remove missing values rather than substituting zero, unless zero is a real observation.

No. Results describe the numbers you entered. Statistical inference also depends on sampling design, independence, model fit and interpretation; a p-value is not the probability that a hypothesis is true.

No. Every calculation, including the distribution algorithms, runs entirely in your browser.