If all values in a data set are the same, the range is

If all values in a data set are the same, the range is

• A. Zero
• B. Undefined
• C. Positive
• D. Negative

Answer: (A)

The range is the difference between the largest and smallest values in a data set. If every value is the same, the largest and smallest values are equal, so the difference is 0. Therefore, the range is 0. This is true for any nonempty data set with identical values (for example, {5, 5, 5} has max = 5 and min = 5, so range = 0). The range cannot be negative, and it is undefined only if the data set is empty.

The range is the difference between the largest and smallest values in a data set. If every value is the same, the largest and smallest values are equal, so the difference is 0. Therefore, the range is 0. This is true for any nonempty data set with identical values (for example, {5, 5, 5} has max = 5 and min = 5, so range = 0). The range cannot be negative, and it is undefined only if the data set is empty.