Question

Miniature golf scores for a group of friends follows:

30, 32, 36, 40, 44, 45, 46, 48, 55, 58, 59, 60, 76, 82, 90

Which measure of variability—IQR or MAD—best describes the spread of the dataset? Enter 1 for IQR or 2 for MAD.

Answer 1

1

Q1 = 40, Q3 = 60 → IQR = 20.
Median = 48 → absolute deviations: 18,16,12,8,4,3,2,0,7,10,11,12,28,34,42 → MAD = median = 11.

Because the scores are right-skewed with high outliers, the IQR (robust measure of central spread) better describes the dataset.