In the data set 4, 5, 6, 9, 9, 9, what is the median?

In the data set 4, 5, 6, 9, 9, 9, what is the median?

• A. 5
• B. 7.0
• C. 7.5
• D. 9.0

Answer: (C)

The main idea is that for an even number of data points, the median is the average of the two central values after sorting. Sort the data: 4, 5, 6, 9, 9, 9. The two middle values are the third and fourth: 6 and 9. Their average is (6 + 9) / 2 = 7.5. So the median is 7.5. The other options don’t match the middle values in this dataset.

The main idea is that for an even number of data points, the median is the average of the two central values after sorting. Sort the data: 4, 5, 6, 9, 9, 9. The two middle values are the third and fourth: 6 and 9. Their average is (6 + 9) / 2 = 7.5. So the median is 7.5. The other options don’t match the middle values in this dataset.