Question

The five-number summary for a data set is given below. 1.3 3.8 4.1 4.4 12.4 Using the 1.5 x IQR Rule, any data value _____ than 2.9 should be flagged as a suspected outlier. Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished.

Answer 1

Any data value less than 2.9 should be flagged as a suspected outlier.

Explanation:

We have been given the five-number summary for a data set is given below. 1.3 3.8 4.1 4.4 12.4. Using the 1.5 x IQR Rule, any data value _____ than 2.9 should be flagged as a suspected outlier. We are asked to fill in the given blank.

Our given points (1.3 3.8 4.1 4.4 12.4) represent minimum point, 1st quartile, median, 3rd quartile and maximum point.

First of all, we will find interquartile range by subtracting 1st quartile from 3rd quartile.

`IQR=4.4-3.8=0.6`

Using 1.5 x IQR Rule, we will get our outliers as:

`3.8-(1.5* IQR)\Rightarrow3.8-(1.5* 0.6)=3.8-(0.9)=2.9`

`12.4+(1.5* IQR)\Rightarrow12.4+(1.5* 0.6)=12.4+(0.9)=13.3`

Therefore, any data value less than 2.9 and greater than 13.3 should be flagged as a suspected outlier.