Question

Here are the prices, rounded to the nearest dollar, of the most frequently purchased gifts in a gift store.

25 33 39 40 41 41 45 46 48 49 51 52 67 73 79



Which data values are outliers?


Choose all answers that are correct.



25

33

67

73

79

Answer 1

An outlier is a datapoint outside of the first or third quartile +/- 1.5 the inter quartile range

25 33 39 40 41 41 45 46 48 49 51 52 67 73 79

46 is at the center-> median
everything left of it:
25 33 39 40 41 41 45
40 at center=Q1
right of Q2:
48 49 51 52 67 73 79
52 at center=Q3

IQR=Q3-Q1=52-40=12

Q1-1.5*IQR=40-1.5*12=40-18=22
Q3+1.5*IQR=52+1.5*12=52+18=60

so everything <22 or >60 are outliers

so 67,73 and 79 are outliers