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

Changing every value Problem set A Answers

Skills

    1. (a) Mean 73, SD 9.5
    2. (b) Mean 175, SD 31
    1. (a) Median 38, IQR 17
    2. (b) Median 11.3, IQR 2.4
    1. (a) Median 84, IQR 30
    2. (b) Median 22.5, IQR 9
    1. (a) Mean 75, SD 12
    2. (b) Mean 1.5, SD 0.16

  5. New SD 16, new variance 256

In context

  1. Mean 2950, SD 350, median 2800, IQR 400

  2. Mean 71.6 °F, SD 6.3 °F

    1. (a) Mean 20, σ = 4.15
    2. (b) New mean 43, new σ = 8.29
    3. (c) New mean = 2 × 20 + 3 = 43; new σ = 2 × 4.15 = 8.29

Stretch

  1. k = 3, b = 3

  2. Mean \$14.2, SD \$1.6

jmaths.xyz · AI HL · 13.3.3 Changing every value