RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF CENTER AND SPREAD

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:84, 88, 72, 74, 98, 16, 94
A
Yes, 16 is an outlier.
B
Yes, 33 is an outlier.
C
Yes, 98 is an outlier.
D
There are no numbers less than 39 or greater than 124, therefore there are no outliers.
Explanation: 

Detailed explanation-1: -Using the Interquartile Rule to Find Outliers Multiply the interquartile range (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier.

Detailed explanation-2: –One way to define an outlier is o anything below Q1 – 1.5 IQR or… o above Q3 + 1.5 IQR. This is called the 1.5 x IQR rule.

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