The best replacement for population mean is sample mean.

The best alternatives to population mean are rated as following:

★★★★★	sample mean
★★	mean
★	population proportion
★	arithmetic mean
★	true mean
	standard mean

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Speaking about population mean, one probably shouldn't forget about sample mean.

Other search terms related to population mean and their ratings are:

★★★★★	sample mean
★★★★★	confidence interval

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population mean

sample mean

mean