medium · GMAT Quant

A logistics manager measures package weight variance for two dispatch shifts. Shift 1 processes 25 packages with a weight variance of 8 kg^2. Shift 2 processes 75 packages with a weight variance of 16 kg^2. Assuming both shifts have identical average package weights

What is the variance of package weights for the entire 100-package set?

  1. 12 kg^2
  2. 14 kg^2
  3. 24 kg^2
  4. 1,400 kg^2
  5. 10 kg^2

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