What is required to determine the median of a data set?

• A. Sorting the data and finding the middle value
• B. Calculating the average of all values
• C. Finding the mode of the set
• D. Identifying the maximum and minimum values

Answer: (A)

To determine the median of a data set, you need to sort the data in ascending or descending order and then find the middle value. The median is defined as the value that separates the higher half from the lower half of the data set.

When the data set has an odd number of observations, the median is simply the middle number in the sorted list. If the data set has an even number of observations, the median is calculated as the average of the two middle numbers. This process ensures that the median accurately represents the central tendency of the data, regardless of extreme values that might skew the results.

In contrast, the other options do not effectively determine the median. Calculating the average focuses on the mean, which is influenced by every value, including outliers. Finding the mode identifies the most frequently occurring value but does not relate to the middle of the data. Identifying the maximum and minimum values only provides information about the range and does not assist in finding the median directly. Thus, sorting the data and finding the middle value is the necessary and correct approach to determining the median.