the five number summary in the data set was 45,54,59,63,70. an observation is considered a outlier if it’s below what. An observation is considered a outlier if it’s above what?

Answer 1

no outliers for this data set: 45, 54, 57, 63, 70

higher boundary for outliers is a number > Q3 +1.5IQR

lower boundary for outliers is a number < Q1-1.5IQR

Q3 is the 75th percentile=66.5

Q1 is the 25th percentile = 49.5

IQR = distance from 25th to 75th percentile=66.5-49.5 = 17

Q3+1.5IQR = 66.5+1.5(17) = 66.5 + 25.5 = 92

Q3-1.5IQR = 49.5-1.5(17) = 49.5-25.5 = 24

higher than 92 is an outlier

lower than 24 is an outlier