# Which statistical test should I use in this situation?

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.

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What do you mean by "mean"? Isn't it just a single number for each town? E.g. 123 students from A-Town were admitted. – Hans Engler Mar 28 '13 at 14:29
@HansEngler : I misstated the problem, hopefully the question is clearer now after my edit. – Omar Ibrahim Mar 28 '13 at 14:41
Have you tried making a scatterplot of the data with the town on your $x$ axis and mean on your $y$ axis? See if there is any obvious correlation and you can run a general regression test. – Alti Mar 28 '13 at 14:46
@Alti Your suggestion looks doubtful to me, for two reasons : 1) there is no “natural” numbering of the towns. 2) This uses only the means and not the deviations. – Omar Ibrahim Mar 28 '13 at 14:59
You're right, I didn't take into account the standard deviation. – Alti Mar 28 '13 at 15:20