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IB Mathematics: Applications and Interpretation HL · AHL 8: Statistics 2 · AHL 8.6

Linear combinations and the sample mean Problem set B Answers

Skills

    1. (a) \(\tfrac{11}{3} = 3.67\)
    2. (b) 19
    3. (c) 14
    1. (a) 33
    2. (b) 40.6

  3. mean 98 s, sd 1.5 s

  4. \(E(N)=8.375\), \(\mathrm{Var}(N)=0.075\)

  5. mean 0, sd 5.66 g

In context

  1. mean 37.1 s, sd 1.05 s

  2. mean 8030 g, sd 25.5 g

  3. mean 89 kg, sd 2.59 kg

  4. mean 28 minutes, sd 7.81 minutes

Stretch

  1. mean 7, sd 3.17

  2. 12 mm

  3. 187

  4. 6

jmaths.xyz · AI HL · AHL 8.6 Mixed practice: linear combinations and the sample mean