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Two machines fill sugar packets. Machine A: mean 500 g, SD 4 g. Machine B: mean 250 g, SD 2.5 g. Which machine is relatively more consistent?

Competition practiceStatistics
  • AA, with CV 0.8%
  • BB, with CV 1%
  • CB, since its SD is smaller
  • DBoth are equally consistent

Step-by-Step Solution

Compare relative spread: CV(A) , CV(B) . Lower CV means more consistent, so A. (A smaller SD alone is misleading when the means differ.)
Answer: A) A, with CV 0.8%

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