From the data set given, the number summary would be as follows:
52 99 85 78 52 89 95 100 55 93 84 89 66
re-arranging the data in ascending order we obtain:
52,52,55, 66,78,84,85,89,89,93,95,99,100
Minimum=52
1st Quartile=66
Median=85
3rd Quartile=93
Maximum=100
thus using the above, the box-whisker plot will be: