I think you're being facetious, but on the off-chance you're not, and for the benefit of others: averages are incredibly practically useful for modeling systems. Parameter estimation (which generalizes averages and applies to other distribution features like variance) is a foundational modeling methodology. It's useful for both understanding and forecasting data. Measures of central tendency are nearly always good (if obviously imperfect) models of systems.

Here is a trivial example: one of the best ways of modeling timeseries data, both in and out of sample, is to naively take the moving average. This is a rolling mean parameter estimate on n lagged values from the current timestep. Not only is this an excellent way of understanding the data (by decomposing it into seasonality, trend and residuals), it's a competitive benchmark for future values. The first step in timeseries analysis shouldn't be to reach for a neural network or even ARIMA. It should be to naively forecast forward using the mean.

You might be surprised at how difficult it is to beat that benchmark with cross-validation and no overfitting or look-ahead bias.