To find the range in a set of numbers, you find the difference between the highest and the lowest numbers in the set. To do this, find the difference between these two numbers in the set.
- Find the highest and the lowest
In a given set of numbers, look for the highest and the lowest numbers. These will be the numbers that determine the range of a set. For instance, a set of 1,3,4,4,7 has a highest of 7, and a lowest of 1.
- Calculate the difference
Once the highest and lowest numbers are determined, the highest is subtracted by the lowest. Using the numbers from the previous step, 7 minus 1 would equal 6. This result, known as the difference, is the range of the set of numbers. The equation looks like this: 7 - 1 = 6 The range of the previous set is 6.
- Determining range with negative numbers
When calculating the range for a set that has negative numbers, one has to keep track of the mechanics of negative numbers. Subtraction of a negative number from a positive number adds to the positive. For example, in a set of -3,1,-6,10, the highest is 10, and the lowest is -6. So the equation looks like this: 10 - (-6) = 10 + 6 = 16 The range in this set is 16.