Maria surveyed girls on the amount (in $) they spent on a dress for the middle school spring fling: 79, 79, 79, 82, 84, 85, 89, 90, 99, 100, 100, 100, 129, 139, 155, 174, 189, 200, 209, 250 Which measure of variability—IQR or MAD—best describes the spread of the dataset? (1 point) Responses MAD; the data distribution has outliers MAD; the data distribution has outliers IQR; the data distribution is symmetrical IQR; the data distribution is symmetrical IQR; the data distribution is skewed IQR; the data distribution is skewed MAD; the data distribution is symmetrical

Answer 1

In this dataset of amounts spent on dresses, we notice that the distribution includes some notably high values, such as 200, 209, and 250, which can be considered outliers.

Given that outliers can significantly impact the Mean Absolute Deviation (MAD) but have less effect on the Interquartile Range (IQR), the IQR is generally a more robust measure when dealing with skewed distributions or outliers.

So, the best measure of variability that describes the spread of this dataset is the IQR, since the data distribution is skewed and contains outliers.

**Therefore, the correct response is:**
IQR; the data distribution is skewed