Which property is shared by both the mean and the median?

• A. Uniqueness
• B. Not affected by extreme values
• C. They are both robust to outliers
• D. Always equal to the mode

Answer: (A)

Both the mean and the median reduce a dataset to a single representative value, which is why they share the property of uniqueness. For any given data, you compute one mean and one median; even when there are two middle numbers in an even-sized dataset, the median is defined as a single value (the average of those two). This makes each statistic a unique summary of the data’s center.

Other statements don’t fit as a shared property. The mean is affected by extreme values, while the median is not, so they don’t share robustness to outliers. The mode is not necessarily related to either measure and is not guaranteed to equal them.