hard · GMAT Quant

An operations supervisor tracks worker daily output across three independent units. Unit A has 10 workers with mean output 100 and population variance 25. Unit B has 10 workers with mean output 110 and population variance 30. Unit C has 20 workers with mean output 105 and population variance 20.

What is the population variance of the combined output of all 40 workers?

  1. 23.75
  2. 25
  3. 36.25
  4. 37.18
  5. 1,450

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