StatsApps

Basic Numerical Statistics

1. Mean

   The mean, or the "arithmetic average," is computed by adding all the data values for a variable and dividing the sum by the number of data values. The mean is a measure of the central location for the data.

   Example

   Mean, Median, Mode Calculator
   
   This web calculator allows users to insert data and calculate the mean, median and mode. The calculator includes explanations of the formulas.
   
   Author: © 2006-2022 CalculatorSoup®.
   All rights reserved.

2. Median

   The median is another measure of central location that, unlike the mean, is not affected by extremely large or extremely small data values. When determining the median, the data values are first ranked in order from the smallest value to the largest value. If there is an odd number of data values, the median is the middle value; if there is an even number of data values, the median is the average of the two middle values.

   Example

   Mean, Median, Mode Calculator
   
   This web calculator allows users to insert data and calculate the mean, median and mode. The calculator includes explanations of the formulas.
   
   Author: © 2006-2022 CalculatorSoup®.
   All rights reserved.

3. Mode

   The mode is another measure of the central tendency of a dataset. It is the data value that occurs with greatest frequency.

   Example

   Mean, Median, Mode Calculator
   
   This web calculator allows users to insert data and calculate the mean, median and mode. The calculator includes explanations of the formulas.
   
   Author: © 2006-2022 CalculatorSoup®.
   All rights reserved.

4. Quartiles

   Percentiles provide an indication of how the data values are spread over the interval from the smallest value to the largest value. Approximately p percent of the data values fall below the pth percentile, and roughly 100 − p percent of the data values are above the pth percentile.
   
   Quartiles divide the data values into four parts: the first quartile is the 25th percentile, the second quartile is the 50th percentile (also the median), and the third quartile is the 75th percentile.

   Example

   Quartile Calculator
   
   This web calculator allows users to insert data and calculate quartiles. The calculator includes explanations of the formulas.
   
   Author: © 2006-2022 CalculatorSoup®.
   All rights reserved.

5. Standard Deviation

   The standard deviation is a measure of the amount of variation in a set of values. It is the square root of the variance. Because the unit of measure for the standard deviation is the same as the unit of measure for the data, many individuals prefer to use the standard deviation as the descriptive measure of variability.

   Example

   Standard Deviation Calculator
   
   This web calculator allows users to insert data and calculate the standard deviation. The calculator provides a result with steps and explanations of the population standard deviation and the sample standard deviation. Users should use caution when deciding between these two options, as they use slightly different formulas.
   
   Author: © 2008-2022 calculator.net.