Range Calculator

Range calculator determines the range of any dataset by calculating the difference between the maximum and minimum values. It provides other useful information such as maximum, minimum values, the total number of the data points and arranges the entire dataset in ascending order.

Moreover, Our range calculator also provides detailed steps for each calculation and finds key measures of central tendency, such as mean, median, and mode, that help to identify the distribution and spread of the data.

What is the Range?

Range is a measure of dispersion or variability in mathematics and statistics that describes the spread of values within a dataset. Specifically, range refers to the difference between the highest and lowest values in the dataset.

A larger range indicates greater variability among the data points, while a smaller range represent that the data points are closely packed together.

Range Formula

The mathematical formula used to calculate the range is stated as:

Range = Maximum value - Minimum value

It can be represented by “max” & “min”, respectively.

Range = Max (a,b,c,...,n) - Min (a,b,c,...,n)

Range Examples

Here we explain range examples with detailed steps for finding the range from different datasets.

Example 1:

Find the range of the dataset below that contains 7 numbers.

Data set = {-3, 5, 12, 4, 7, 50, 20}

Solution:
Step 1: Firstly, set the given data set values in ascending order.

Sorted data = -3, 4, 5, 7, 12, 20, 50

Step 2: Now, note the maximum and minimum numbers from ordered data.

max = 50, min = -3

Step 3: Finally, put the values in the range formula.

Range = max – min = (50) - (-3) = 50 + 3 = 53

Thus, the range of given data is equal to “53”.

Example 2:

Calculate range of a dataset that contains numbers as: 8, 10, 3.4, 12, 2.2, 5.5, and 13.

Solution:
Step 1: Set the given data values in ascending order.

Sorted data = 2.2, 3.4, 5.5, 8, 10, 12, 13

Step 2: Extract the maximum and minimum numbers from ordered data.

max = 13, min = 2.2

Step 3: Now, put the values in the range formula.

Range = max – min = (13) - (2.2) = 13 - 2.2= 10.8

So, the range of given data is equal to “10.8”.

Frequent Asked Question:

What is the range in statistics?

It is defined as the difference between the max and min observed values in a given data set, representing the spread or separation of the values.

How to find the range of data set?

"To find the range of a given data set manually, first arrange them in ascending order. After that, subtract the minimum value from the maximum value of dataset. However, to find it quickly, use the range calculator above.

Can the range be negative?

No, the range cannot be negative. It is calculated by taking the difference between the highest and lowest values, which always results in a non-negative number.

What is range if all dataset values are identical?

In this case, the range of the given dataset will be zero because the minimum and maximum numbers are equal, and the difference between identical numbers is zero.

What is the difference between mean and range?

Mean is defined as the ratio of the sum of all observations to the total number of observations, while range is the difference between the maximum and minimum values of the given dataset.

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Range Calculator

How to Calculate Range?