What does the median of a data set represent?

• A. The smallest value in the data set
• B. The average of all values
• C. The middle value when arranged in order
• D. The most frequently occurring value

Answer: (C)

The median of a data set is defined as the middle value when the data points are arranged in ascending or descending order. To find the median, you first organize the numbers from the smallest to the largest. If the number of observations is odd, the median is the central number in this ordered list. If the number of observations is even, the median is the average of the two central numbers. This characteristic makes the median a useful measure of central tendency, especially in datasets that may have outliers or non-symmetric distributions, as it is not affected by extreme values in the same way the mean is. Therefore, option C accurately represents what the median signifies within a data set.