Question

which is the more appropriate measure of variability for this distribution: the interquartile range or the standard deviation? the is a more appropriate measure of variability for this distribution because of the apparent outlier at -3. the is resistant to the outlier, while the is not resistant.

Explanation:

Step1: Understand outlier - sensitivity

The interquartile range (IQR) is based on quartiles and is not affected by extreme values (outliers). The standard deviation takes into account all data - points and is influenced by outliers.

Step2: Analyze the given situation

Since there is an outlier at - 3, we need a measure that is not affected by it.

Answer:

The interquartile range is a more appropriate measure of variability for this distribution because of the apparent outlier at - 3. The interquartile range is resistant to the outlier, while the standard deviation is not.