Based on theoretical probability, she was expecting the die to land on each number 15 times. Sheila then remembered that experimental probability does not always equal theoretical probability, but it should approach it the more times an experiment is run. Sheila ran the experiment again rolling the die 180 times. For the 180 rolls of the die, she noticed that all of the frequencies were at most 20% away from what was expected based on the theoretical probability. She then combined the two data sets for a total of 270 rolls of the die.

The minimum frequency that she could have obtained from any number in the combined data set is
6
and the maximum frequency she could have obtained from any number is
22
.