It depends on the type of analysis you are going to do.
If you are only going to do basic descriptive stats and count up how many people gave each answer ... you could do it by hand or use a spreadsheet like Excel to help with some basics.
But if you are going to anything more complicated -- even things like standard deviations, means, etc. --- or things like t-tests, chi-squares, or correlations, you would be better off using software designed for that, such as SPSS. The student version of SPSS are cheap.
Certainly for anything more complicated, you would need statistical software. Your thesis advisor (or other school resources) should be able to help guide you in exactly what to use.