The following data shows the number of hours that \(14\) students spent preparing for a mathematics examination:
\(2,\ 3,\ 4,\ 5,\ 5,\ 6,\ 6,\ 7,\ 8,\ 8,\ 9,\ 10,\ 11,\ 20\)
Find \(\mathrm{Q}_1\) and \(\mathrm{Q}_3\)
Calculate the interquartile range (IQR).
Calculate the lower and upper boundaries for outliers.
Determine whether the data set contains any outliers. Justify your answer.
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