Which statistics offer robust (resistant to outliers) measures of center?
A)Mean, midrange, mode.
B)Median, midhinge, trimmed mean.
C)Trimmed mean, midrange, midhinge.
D)Mean, mode, quartiles.

Question

Quizplus · Accepted Answer

The median, midhinge, and trimmed mean are all robust measures of center as they are not influenced by outliers. The median is the most commonly used robust measure of center and is simply the middle value when the data is arranged in order. The midhinge is calculated by finding the average of the first and third quartiles, which makes it less sensitive to extreme values. The trimmed mean involves removing a certain percentage of outliers from both ends of the data set, which further reduces the impact of extreme values. Therefore, option B is the best choice.

Which Statistics Offer Robust (Resistant to Outliers) Measures of Center