A lobster fisherman is keeping track of the productivity of a set of traps he has placed in a favorite location. Below are the numbers of lobsters in these traps over the course of 12 different hauls
0 3 3 3 4 5 5 6 7 7 12 14
According to the 1.5 x IQ rule, which values in the above distribution are outliers?
• 0, 12. and 14
O 0 and 14
• 12 and 14
• 14 only
According to the 1.5 x IQR rule, outliers are values that are less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR.
In this case, we need to calculate Q1, Q3, and IQR:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
Using the values calculated above:
Lower bound = Q1 - 1.5 x IQR = 3 - 1.5 x 4 = -3
Upper bound = Q3 + 1.5 x IQR = 7 + 1.5 x 4 = 13
Values of 0, 12, and 14 fall outside the range of -3 to 13, so they are considered outliers. Therefore, the correct answer is:
• 0, 12, and 14