That's not quite right. The "paradoxical" version would be something like:
Alice and Bob are taking a course where their grades are determined by 5 essays and/or presentations, and they can choose how many of each to do. Alice does one essay where she earns 80%, and 4 presentations where she earns an average of 90%. Bob does 4 essays earning an average of 85%, and one presentation where he earns 95%. For each assignment type Bob has a higher average than Alice, but Alice's overall grade (assuming equal weighting) is higher than Bob's: Alice gets 88% ((80 + 4 * 90)/5) and Bob gets 87% ((4 * 85 + 95)/5).
Alice and Bob are taking a course where their grades are determined by 5 essays and/or presentations, and they can choose how many of each to do. Alice does one essay where she earns 80%, and 4 presentations where she earns an average of 90%. Bob does 4 essays earning an average of 85%, and one presentation where he earns 95%. For each assignment type Bob has a higher average than Alice, but Alice's overall grade (assuming equal weighting) is higher than Bob's: Alice gets 88% ((80 + 4 * 90)/5) and Bob gets 87% ((4 * 85 + 95)/5).