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

Krishna (last edited 2 years ago) (Expert, Educator @Qalaxia)

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