Problem

The following numbers of people attended the last 11 screenings of a movie. \[ 113,195,195,198,202,207,208,209,210,211,293 \] Identify all values that are outliers. If there is more than one outlier, separate them with commas. If there are no outliers, click on "None".

Solution

Step 1 :Given data = \([113, 195, 195, 198, 202, 207, 208, 209, 210, 211, 293]\)

Step 2 :Calculate the first quartile (Q1), which is \(196.5\)

Step 3 :Calculate the third quartile (Q3), which is \(209.5\)

Step 4 :Calculate the interquartile range (IQR), which is \(Q3 - Q1 = 13.0\)

Step 5 :Calculate the step, which is \(1.5 * IQR = 19.5\)

Step 6 :Any number less than \(Q1 - step\) or greater than \(Q3 + step\) is considered an outlier

Step 7 :From the given data, the outliers are \([113, 293]\)

Step 8 :Final Answer: The outliers are \(\boxed{113, 293}\)

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Source: https://solvelyapp.com/problems/l8Wtvx5Zpc/

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