Answer to Question #209837 in Statistics and Probability for YOLO

Question

Which of the following summary measures is affected most by outliers? 

a.) the median 

b.) the mean 

c.) the range 

d.) the interquartile range 

e.) the all of the above 

Answer 1

Answer: c).The Range

Explanation

The range is the distance from the highest value to the lowest value. an outlier will affect the range

the most. This is because the median is always in the centre of the data and the range is always at the ends of the data, and since the outlier is always an extreme, it will always be closer to the range then the median.