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IB Mathematics: Applications and Interpretation HL · 13.3: Statistics · 13.3.9

Statistics review Problem set B Answers

Skills

    1. (a) continuous
    2. (b) discrete
    3. (c) continuous
    4. (d) discrete
    1. (a) 31
    2. (b) 1
    3. (c) 1.61
    4. (d) 1.29
    1. (a) 40 m
    2. (b) 20 m
    3. (c) 20 m
    4. (d) 55 m

In context

    1. (a) 30 minutes
    2. (b) 55 minutes
    3. (c) 15 minutes
    4. (d) 30 days
    5. (e) 90 days
    6. (f) No, it is not an outlier (60 is between the fences)
    1. (a) discrete
    2. (b) Total 48, mode 2
    3. (c) Mean 2.25, σ = 1.16
    4. (d) 4
    1. (a) Median 39, Q1 = 33, Q3 = 45
    2. (b) 12
    3. (c) Upper fence 63; 95 > 63
    4. (d) 38.5 emails

Stretch

    1. (a) continuous
    2. (b) r = −0.996: a strong negative linear correlation
    3. (c) y = −1.82x + 15.4
    4. (d) 4.49 °C
    5. (e) For each extra hundred metres, the air temperature decreases by about 1.82 °C.
    6. (f) It is outside the range of the data (extrapolation), so the linear trend may not continue.
    1. (a) Group M: 65, Group N: 70. Group N is higher.
    2. (b) Group M: 25, Group N: 15
    3. (c) 20 days
    4. (d) Yes (100 is above the upper fence)
    5. (e) Group M has the larger IQR, so the middle half of its values is more spread out.

jmaths.xyz · AI HL · 13.3.9 Statistics review: exam questions