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Find the range

Range is the difference between the greatest and least values in a numerical data set, found by subtracting the minimum from the maximum; it describes the total spread of the data and is expressed in the same units as the observations. It is not the set of values or the number of values, and this treatment focuses on straightforward numerical data, not more advanced measures of variability or formal statistical analysis.

Detailed Explanation: Find the range

The range tells how spread out a set of numbers is.

To find the range:

  1. Find the greatest value.
  2. Find the least value.
  3. Subtract the least value from the greatest value.
Range=greatest value−least value\text{Range}=\text{greatest value}-\text{least value}

Example: Find the range of the data set:

8, 12, 5, 15, 108,\ 12,\ 5,\ 15,\ 10

The greatest value is 1515, and the least value is 55.

Subtract:

15−5=1015-5=10

So, the range is:

10\boxed{10}

The range is expressed in the same units as the data. It is not the number of values in the data set.

Learn by doing: Find the range

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Statistics - Solve for Range


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