Statistics

The following data shows the number of hours that \(14\) students spent preparing for a mathematics examination:

\(2,\ 3,\ 4,\ 5,\ 5,\ 6,\ 6,\ 7,\ 8,\ 8,\ 9,\ 10,\ 11,\ 20\)

1. Find \(\mathrm{Q}_1\) and \(\mathrm{Q}_3\)

2. Calculate the interquartile range (IQR).

3. Calculate the lower and upper boundaries for outliers.

4. Determine whether the data set contains any outliers. Justify your answer.