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Do you have an example on the last sentence. How inference could be used to deduce your age based on behaviour?
Or something to read up on the topic. Sounds intriguing.
To add to the other great explanation here, if you want to research a machine learning model that could do this, I would start with a model called logistic regression.
It's a fancy way of doing statistics and connecting the information they have. Are you interested in Minecraft? That probably says something about you. Do you look up maths homework assignments? We now know exactly which grade you're in. Do you buy gifts for a graduation ceremony? Diapers or baby shower utensils? Either you or your friends are in the age of having a family. If more data points are connected, you can probably make a very precise prediction.
A machine learning model can learn which things people care for, look up or buy at a certain age and then do the predictions. Giving input data to a model and then letting it compute a corresponding output is called 'inference'.