# 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.

• 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. Mar 28, 2013 at 14:29
• @HansEngler : I misstated the problem, hopefully the question is clearer now after my edit. Mar 28, 2013 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, 2013 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. Mar 28, 2013 at 14:59
• You're right, I didn't take into account the standard deviation.
– Alti
Mar 28, 2013 at 15:20