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by twawaaay
1456 days ago
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This is an old problem resulting from lack of education. People apply standard deviation without first learning that it only makes sense for data that has standard distribution. Standard deviation is a prediction and characterisation tool. Knowing that the data set has standard distribution you can characterise entire data set very easily by giving just few parameters of the standard distribution to then allow you to predict other information. A bit like being to tell everything about black hole by just stating its mass, charge and angular momentum. This only makes sense when the distribution of a special class with the common characteristic. Specifying mass, charge and angular momentum of a chair does not let you predict everything about the chair, it only works for black holes. If you are not convinced, try calculating standard deviation of number of testicles on humans. Based on it, infer how many humans have one testicle. How many have more than 5? |
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