The range is found by calculating the difference between the highest and lowest values in a data set. To find the range, order all values in the data set from lowest to highest, then subtract the lowest value from the highest value. The formula is:
Range=Highest value−Lowest value\text{Range}=\text{Highest value}-\text{Lowest value}Range=Highest value−Lowest value
This applies regardless of whether the values are positive, negative, whole numbers, or fractions. The range tells you how spread out the data is; a larger range means higher variability and a smaller range means lower variability. For example, if the highest value is 37 and the lowest is 19, the range is 37−19=1837-19=1837−19=18.
If the question refers to the range of a function, it means the set of all possible output values (y-values). You can find it by graphing the function and seeing the values covered on the y-axis, or by using specific rules depending on the function type (linear, quadratic, logarithmic, etc.).