Descriptive Statistics Calculator

Descriptive Statistics

Given a data set of real numbers x1, x2, x3 ... xN, this calculator calculates some of the most important descriptive statistics. It sorts the data values in ascending order, determines the minimum and maximum data values in the data set and calculates the range R defined by

R = maximum data value - minimum data value


It also computes the mean, median and mode and the standard deviation.
The quartiles Q1, Q2 and Q3 and the interquartile range IQR defined by

IQR = Q3 - Q1


are also calculated.

Use Descriptive Statistics Calculator

Enter the data set as a list of real numbers x1, x2, x3 ... xN separated by commas then press "Calculate Descriptive Statistics" and check the data entered. The outputs are:
  • the sorted data and the number of data values (count)
  • the maximum, minimum data values and the range
  • the mean, median and mode;
  • the quartiles and interquartile range
  • and the population and sample standard deviation.
"NaN" means "not a number" and when it is displayed for a data value, check that data value and make corrections before any calculations.
Possible mistakes to avoid : extra space between digits, two successive commas, comma at the end of the list of the numbers entered, etc ....
If you have data values separated by commas and well formated, you may copy and paste them in the text area. The text area to input data can be made much larger by pulling its bottom right hand side.

Enter Data Values: x1, x2, x3 ... =
Decimal Places =

Check Entered Data: =
Sorted Data: =
Count: =

Minimum: = Maximum: = Range: =

Mean: = Median: = Mode: =

Quartile (1): = Quartile (2): = Quartile (3): =

Interquartile range IQR: =

Population Standard Deviation: = Sample Standard Deviation: =

More References and Links

Mean and Standard deviation - Problems with Solutions
Standard Deviation
Quartiles and box plots
Mean and Standard deviation.