Maria surveyed girls on the amount (in $) that they spend on a dress for the middle school spring fling;

Question

79,79,79,82,84,85,89,90,99,100,100,100,129,139,155,174,189,200,209,250
What measure of variability, IQR or MAD best describes the spread of the dataset?
MAD; the dataset is symmetrical.
MAD; the dataset distribution has outliers.
IQR; the dataset is skewed.
IQR; the data distribution is symmetrical.

Answer 1

MAD; the dataset distribution has outliers.

The dataset has a wide range of values, including some outliers such as 250. In this case, Median Absolute Deviation (MAD) would be a better measure of variability as it is less affected by outliers compared to Interquartile Range (IQR).