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hard · GMAT Quantitative Reasoning

Shift A has 20 hourly output scores with mean 100 and standard deviation 15. Shift B has 30 hourly output scores with mean 80 and standard deviation 10.

Treating each standard deviation as the population root-mean-square deviation from its group mean, what is the combined population standard deviation of all 50 observations?

  1. 12.00
  2. 15.68
  3. 1060.66
  4. 12.50
  5. 20.00

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