Question

What is an outlier in the data set 65, 32, 9, 76, 69?

Answer 1

put the numbers in order
9,32,65,69,76
Q1 = (32 + 9) / 2 = 41/2 = 20.5
Q2 = 65
Q3 = (69 + 76) / 2 = 145/2 = 72.5

now we find the IQR which is Q3 - Q1.....= 72.5 - 20.5 = 52
now we multiply 52 by 1.5....52 * 1.5 = 78

so the outliers will be :
Q1 - 78 .....20.5 - 78 = -57.5...anything below this
Q3 + 78.....72.5 + 78 = 150.5...anything above this

there is no outliers in here