Comparing means with drastically different population size

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I am trying to compare averages with different sample size. I want to find a way to 'normalize' this data. I have read that a weighted average might work, but assigning weights based on what? enter image description here

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The weights are the population numbers:

  • Multiply each group's average by its population to give total time per group
  • Add total time per group up to give total time overall
  • Add up the populations to give total population overall
  • Divide total time overall by total population overall to give average time overall