Mass and measurement problems

Questions involving physical measurements (mass, weight) where means and standard deviations must be combined, requiring assumptions about independence.

1 questions

OCR S3 Specimen Q2
7 marks
2 Boxes of matches contain 50 matches. Full boxes have mean mass 20.0 grams and standard deviation 0.4 grams. Empty boxes have mean mass 12.5 grams and standard deviation 0.2 grams. Stating any assumptions that you need to make, calculate the mean and standard deviation of the mass of a match. [7]