 In this video, we provide the solution in question number six for practice exam three for math 1030 in which case we're given a quota as if like from a apportionment method q equals 11.499. And we're asked which is that what is the geometric mean between 11 and 12 because you'll notice q sits between 11 and 12. So very interested in what's the geometric mean of 1112 as it relates to q. And then once you've calculated that geometric mean, how should q be geometrically rounded should we round it up or down depending on the geometric mean. So the first thing to do is to compute the square root of 11 times 12, which 11 times 12 is 132. So we want to take the square root of 132 for which you want to utilize a calculator in this situation. This is going to give you 11.489. So the geometric mean is either option E or F A B C and D are have the incorrect geometric means we're not going to consider them. So then when it comes to rounding if our quota is larger than the geometric mean we round up if our quota is smaller than the geometric mean we round it down 11.499 which was in the danger zone is bigger than 11.489. So the correct answer would be F we would round this number up using geometric rounding.