Question

A random sample of golf scores gives the following computer output:

n: 20

x-bar: 84.5

Sx: 11.5

minX: 68

Q1: 78

Med: 86

Q3: 91

maxX: 112

What can be said of the number of outliers?


A. 0
B. 1
C. 2
D. At least 1
E. At least 2

EXPLAIN how your answer to #17 is correct. Include SHOWN WORK in your answer




Please help me I have no clue what to do

Answer 1

D

Explanation:

The interquartile range IQR = Q₃ - Q₁ = 13. The most commonly accepted definition of an outlier is any value greater than Q₃ + 1.5 (IQR) = 110.5 or less than Q₁ - 1.5 (IQR) = 58.5. Looking at the minimum and maximum values, we see that there are no outliers on the lower end, and at least one outlier on the upper end.