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How to discretize training and test files to not encounter inconsistency in data?

I have a problem in discretizing my data. My data comprises of two parts: training data and test data. I discretized training data using some parameters of equal-width binning and used the same ...
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Is it valid to model discrete numerical test scores as coming from a continuous random variable?

I'm working with a sample of test scores which range from 0 to 100. These scores are generated from a set of 100 binary responses (0 or 1), so the higher the resulting sum, the better the performance. ...