Roxanne has the following data: 4, 1, m, 4, 14, 8. If the range is 14, which number could m be?

Step 1: Arrange the numbers from least to greatest.
GIVEN: 4, 1, m , 4, 14, 8.
m = ?
Range = 14
Least to greatest.
1, 4, 4, 8, 14,
Step 2: Subtract the least number from the greatest number.
NOTE: The range is the difference between the greatest number and the least number.
If m = 0
0, 1, 4, 4, 8, 14
Range = greatest - least
14 = 14 - (- 0)
14 = 14
So, m = 0 is a one possible value
If m = 15
1, 4, 4, 8, 14, 15
Range = greatest - least
14 = 15 - 1
14 = 14
So, m = 15 is a another possible value
Hence, m = 0 or 15