For a certain sample we have: min 118 Q1 133 Median 138.5 Q3 145 Max 173 Which o

Question

For a certain sample we have: min 118 Q1 133 Median 138.5 Q3 145 Max 173 Which of the following is the true statement regarding determining the POTENTIAL outliers in this sample? O Values below 97 or above 181 are potential outliers in this sample. O Values below 127 or above 181 are potential outiers in this sample. O Values below 115 or above 163 are potential outliers in this sample. O Values below 97 or above 151 are potential outliers in this sample. O Values below 127 or above 163 are potential outliers in this sample. O Values below 115 or above 151 are potential outliers in this sample.

Explanation / Answer

A point that falls outside the data set's inner fences is classified as a minor outlier,
while one that falls outside the outer fences is classified as a major outlier.

To find the inner fences for your data set, first, multiply the interquartile range by 1.5. Then, add the result to Q3 and subtract it from Q1
So here we know the Q1= 133 and Q3= 145

So interquartile range = Q3-Q1= 145-133= 12

So inner fences= 1.5* interquartile range= 1.5* 12= 18

So Q1- inner fences= 133-18= 115

And Q3+ inner fences= 145+ 18= 163

So answer: Values below 115 or above 163 are potential outliers in this sample

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