Problem:
The data set has median , first quartile , and third quartile . An outlier in a data set is a value that is more than 1.5 times the interquartile range below the first quartile or more than 1.5 times the interquartile range above the third quartile , where the interquartile range is defined as . How many outliers does this data set have?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Because 1.5 times the interquartile range for this data set is , outliers are data values less than or greater than . Only the value 6 meets this condition, so there is outlier.
The problems on this page are the property of the MAA's American Mathematics Competitions