We’ve had this sort of teaching problem in statistics for years. Textbooks were (are?) full of tiny data sets, small enough that computations can be done on a hand calculator or the data entered by hand into a computer.  Students are told to work through all the computational steps; it’s supposed to give them a feeling for the data. What it gives them (apart from a revulsion for data) is a sense of the behaviour of very simple statistics on very small data sets, and increased difficulty in understanding the law of large numbers, the central limit theorem, the curse of dimensionality, and other important facts that don’t show up in a $$20x3$$ data table.