Question

the five number summary of a dataset was found to be: 0, 6, 12, 17, 18. an observation is considered an outlier if it is below: blank. an observation is considered an outlier if it is above: blank. question help: video

Explanation:

Step1: Identify quartiles and median

The five - number summary is minimum = 0, Q1 = 6, median = 12, Q3 = 17, maximum = 18.

Step2: Calculate the inter - quartile range (IQR)

IQR = Q3 - Q1 = 17 - 6=11.

Step3: Calculate the lower outlier boundary

Lower boundary = Q1 - 1.5×IQR = 6-1.5×11 = 6 - 16.5=-10.5.

Step4: Calculate the upper outlier boundary

Upper boundary = Q3 + 1.5×IQR = 17+1.5×11 = 17 + 16.5 = 33.5.

Answer:

-10.5
33.5