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IB Mathematics: Applications and Interpretation SL · 13.3: Statistics · 13.3.3

Changing every value Problem set B Answers

Skills

    1. (a) Mean 90, SD 6.4
    2. (b) Mean 320, SD 27
    1. (a) Median 51, IQR 24
    2. (b) Median 17, IQR 3.2
    1. (a) Median 72, IQR 28
    2. (b) Median 52, IQR 10.4
    1. (a) Mean 64, SD 10
    2. (b) Mean 4, SD 0.5

  5. New SD 6, new variance 36

In context

  1. Mean 51, SD 7.5, median 49, IQR 9

  2. Mean 86, SD 15

    1. (a) Mean 14, σ = 4.10
    2. (b) New mean 44, new σ = 12.3
    3. (c) New mean = 3 × 14 + 2 = 44; new σ = 3 × 4.10 = 12.3

Stretch

  1. k = 2, b = 7

  2. Mean 31 minutes, SD 4.5 minutes

jmaths.xyz · AI SL · 13.3.3 Changing every value