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Calculating the arithmetic mean and the variance (or the standard deviation) of a dataset is a fundamental task in statistics. These calculations provide valuable insights into the central tendency and distribution of the data in the linear space. However, it’s going to be a resource-intensive operation if you do these calculations repeatedly, especially when dealing with large datasets. To save you time and the memory on your computer, we’re going to explore an incremental approach to calculate the arithmetic mean and the variance (or the standard deviation) of a dataset.