Range

The Range calculator computes the difference between the highest value in the data set,`X_("max")`, and the lowest value in the data set, `X_("min")`. 

NOTE: many vCalc equations are embedded throughout vCalc descriptive pages like this page.  Even though they may not stand out in the text, if you hover over the name of an equation it will likely be linked to an actual, pop-up executable equation. For example: Arithmetic Mode

Inputs

Enter the following:

• `X_i`: This is the set of comma-separated numeric values (e.g. 4.78,-1.2,8,9.901 )

You can copy and paste in your own list of comma-separated values to compute the range of a data set.

The Math 

The  calculator orders the values in the data set and finds the difference of the two extremes. 

Example

Let our data set when ordered be:  2.222, 8, 16, 16.5, 18.8, 22, 27.82, 36, 40

`X_("max") = 40`
`X_("min") = 2.222`
`"Range"_(X) = X_("max") - X_("min") = 40 - 2.222 = 37.778`

You can try this example data set by copying and pasting the example data set into the vCalc equation for Range.

See Also 

• Find the minimum of a data set
• Find the maximum of a data set
• Determine the range of a data set
• To compute the observation statistics for a set including min, max, mean, mid-point, median, count, population and sample variance and standard deviation, CLICK HERE.
• To sort a list of numeric values, CLICK HERE.
• To create a random subset of the a list of numeric values, CLICK HERE.
• Click here to see hundreds of statistics topics on vCalc
• Click here to apply some of the simplest statistics
• Start here with the basics of elementary statistics
• Click here to get a simplified view of mathematics
• Click here to understand the basic concept of Quantization
• Click here to read about frequency distributions
• Begin with the math of measuring central tendencies
• Click here to see basic psychology statistics
• Click here to see the category of Statistics in vCalc content
• Peruse the category of Engineering Probability and Statistics
• Try the Mean calculation
• Try the Median calculation
• Try the Mode calculation
• Try the Range calculation
• Here's the Min calculation
• And the Max calculation
• Standard Deviation (Sample)
• Standard Deviation (Population)
• Frequency Distribution between min and max
• Frequency Distribution for population
• Try the z-score calculation on your data set
• Try the z-score when you know both mean and SD