Question

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

IQR; the data distribution is skewed
IQR; the data distribution is skewed

MAD; the data distribution is symmetrical
MAD; the data distribution is symmetrical

IQR; the data distribution is symmetrical
IQR; the data distribution is symmetrical

MAD; the data distribution has outliers

Answer 1

IQR; the data distribution is skewed

Reason: the values have a long right tail (large amounts like 209, 250) so the distribution is positively skewed and contains outlying large values. The IQR is resistant to outliers and better describes spread here than MAD (which is influenced by extreme values).