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How Good at Math Does a Programmer Need to Be?
(sh.itjust.works)
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That's one example of your particular programming job. Many real world software systems do not require handling monitoring and alerting especially not using statistics, rolling averages, etc.
For example, I once wrote the encryption code used on smart card chips. Writing statistics for smart card card transactions would be someone else's job. Same with the modem code I wrote for a product.
So, I'd argue that "frontend" and "backend" are the default modes of software engineering these days, and that embedded is a more niche field.
That said, if you're doing encryption code, you're doing far more advanced math than backend monitoring and alerting.