1. Order the number from smallest to largest:

6, 7,8, 8, 9,9, 9, 9, 9,9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16

Since the number of scores is even, the median is the average of the middle scores:

\(\displaystyle{M}={Q}_{{{2}}}={\frac{{{11}+{11}}}{{{2}}}}={11}\)

The first quartile is the median of the data values below the median (or at 25% of the data):

\(\displaystyle{Q}_{{{1}}}={10}\)

The third quartile is the median of the data values above the median (or at 75% of the data):

\(\displaystyle{Q}_{{{3}}}={13}\)

The interquartile range IQR is the difference of the third and first quartile:

IQR=13-10=3

2.The whiskers of the boxplot are at the minimum and maximum value. The box starts at the lower quartile, end at the upper quartile and has a vertical line at the median.

The lower quartile is at 25% of the sorted data list, the median at 50% and the upper quartile at 75%.