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

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 mean and median produce a single numerical summary for a dataset. For any given data set, there is one mean and one median, so each statistic yields a unique value that summarizes the data. That’s why the property they share is their uniqueness: each dataset has exactly one mean and exactly one median. The other statements don’t hold for both measures. The mean can be pulled toward extreme values, while the median stays more resistant to outliers. They describe central tendency, but they aren’t always equal to the mode.

Both mean and median produce a single numerical summary for a dataset. For any given data set, there is one mean and one median, so each statistic yields a unique value that summarizes the data.

That’s why the property they share is their uniqueness: each dataset has exactly one mean and exactly one median. The other statements don’t hold for both measures. The mean can be pulled toward extreme values, while the median stays more resistant to outliers. They describe central tendency, but they aren’t always equal to the mode.