The exercise is about testing if there is a correlation between the town the student comes from and the score at a certain competitive exam. For each town in a set of five $A,B,C,D,E$ one is provided the means and the standard deviation of the scores of the inhabitants of the town, and no other data is given.
I browsed wikipedia on tests but could not find the test I was looking for. The nearest I could find was Pearson’s $\chi^2$ test, but this one needs more data.
Any help appreciated.