Final answer:
The range of the sample data set X: 24, 18, 14, 31, 26 is calculated by subtracting the smallest value (14) from the largest value (31), resulting in a range of 17.
Step-by-step explanation:
Finding the Range of a Data Set
To find the range of the sample data set X: 24, 18, 14, 31, 26, you need to subtract the smallest number in the set from the largest. First, identify the smallest and largest numbers in the data set. In this set, the smallest number is 14 and the largest is 31. Subtract the smallest value from the largest value to find the range.
Range = Largest value - Smallest value
Range = 31 - 14
Range = 17
Therefore, the range of the given data set is 17.