How do you calculate the median of an even data set?

How do you calculate the median of an even data set?

• A. Take the average of the two middle values
• B. Take the smallest value
• C. Take the largest value
• D. Take the middle value closest to the mean

Answer: (A)

When the dataset has an even number of values, there isn’t a single middle value. After sorting the data, you take the two central numbers (at positions n/2 and n/2 + 1, where n is the total count) and compute their average. This average is the median and represents the middle of the data range. For example, with 2, 4, 7, 9, the two central values are 4 and 7, so the median is (4 + 7) / 2 = 5.5. Choosing the smallest or largest wouldn’t reflect a central tendency, and picking just one of the two middle values would ignore half the data’s spread. The average of the two middle values gives a true central value for an even-sized dataset.

When the dataset has an even number of values, there isn’t a single middle value. After sorting the data, you take the two central numbers (at positions n/2 and n/2 + 1, where n is the total count) and compute their average. This average is the median and represents the middle of the data range. For example, with 2, 4, 7, 9, the two central values are 4 and 7, so the median is (4 + 7) / 2 = 5.5. Choosing the smallest or largest wouldn’t reflect a central tendency, and picking just one of the two middle values would ignore half the data’s spread. The average of the two middle values gives a true central value for an even-sized dataset.