Statistics

The following data set represents the number of minutes that 12 students spent studying for a mathematics test:

\( 8,\ 10,\ 12,\ 13,\ 14,\ 15,\ 16,\ 17,\ 18,\ 20,\ 22,\ 35\)

1. Find the lower quartile \(\mathrm{Q}_1\) and upper quartile \(\mathrm{Q}_3\).

2. Calculate the interquartile range.

3. Determine the lower and upper outlier boundaries

4. State which value(s), if any, are outliers. Give a reason for your answer.