Trimmed mean is defined as which of the following?

Trimmed mean is defined as which of the following?

• A. A mean computed only on the top 50% values
• B. The median of the data
• C. A mean calculated after removing a percentage of extreme values; used in robust tests.
• D. The mode of the data

Answer: (C)

The idea being tested is how trimming extremes changes the measurement of central tendency to be less affected by outliers. The trimmed mean is computed by removing a specified percentage of the smallest and largest values, then averaging what remains. This reduces the influence of extreme values, which is why it’s used in robust tests. The statement that best captures this is that the trimmed mean is a mean calculated after removing a percentage of extreme values and used in robust tests. The other descriptions refer to other statistics or to an unusual approach to trimming (like keeping only the top half) that isn’t how the trimmed mean is defined, and the median or mode are different measures altogether.

The idea being tested is how trimming extremes changes the measurement of central tendency to be less affected by outliers. The trimmed mean is computed by removing a specified percentage of the smallest and largest values, then averaging what remains. This reduces the influence of extreme values, which is why it’s used in robust tests. The statement that best captures this is that the trimmed mean is a mean calculated after removing a percentage of extreme values and used in robust tests. The other descriptions refer to other statistics or to an unusual approach to trimming (like keeping only the top half) that isn’t how the trimmed mean is defined, and the median or mode are different measures altogether.