Which statement about the dataset 2, 4, 4, 6, 8 is false?

Which statement about the dataset 2, 4, 4, 6, 8 is false?

• A. The mean is 4.8.
• B. The median is 4.
• C. The mode is 4.
• D. The range is 3.

Answer: (D)

Focus on what each statistic means and how to compute it from the data: 2, 4, 4, 6, 8. The range is the difference between the largest and smallest values. Here, the smallest is 2 and the largest is 8, so the range is 8 − 2 = 6. That makes the statement that the range is 3 false. For context, the mean is the average: add the numbers to get 24, then divide by 5, giving 4.8. The median is the middle value when the data are ordered, which is 4. The mode is the value that appears most often, which is 4 (it appears twice, more than any other number).

Focus on what each statistic means and how to compute it from the data: 2, 4, 4, 6, 8.

The range is the difference between the largest and smallest values. Here, the smallest is 2 and the largest is 8, so the range is 8 − 2 = 6. That makes the statement that the range is 3 false.

For context, the mean is the average: add the numbers to get 24, then divide by 5, giving 4.8. The median is the middle value when the data are ordered, which is 4. The mode is the value that appears most often, which is 4 (it appears twice, more than any other number).