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

Statistics review Problem set A Answers

Skills

    1. (a) continuous
    2. (b) discrete
    3. (c) continuous
    4. (d) discrete
    1. (a) 36
    2. (b) 2
    3. (c) 1.97
    4. (d) 1.21
    1. (a) 55 s
    2. (b) 30 s
    3. (c) 25 s
    4. (d) 60 s

In context

    1. (a) 260 visitors
    2. (b) 470 visitors
    3. (c) 120 visitors
    4. (d) 40 days
    5. (e) 120 days
    6. (f) Yes, it is an outlier (25 is below the lower fence)
    1. (a) discrete
    2. (b) Total 60, mode 2
    3. (c) Mean 2.65, σ = 1.62
    4. (d) 4
    1. (a) Median 2.6, Q1 = 1.5, Q3 = 3.9
    2. (b) 2.4
    3. (c) Upper fence 7.5; 18.6 > 7.5
    4. (d) 2.52 mm

Stretch

    1. (a) discrete
    2. (b) r = 0.983: a strong positive linear correlation
    3. (c) y = 4.86x − 30.4
    4. (d) 96.0 bottles
    5. (e) For each extra degree, the number of bottles sold increases by about 4.86 bottles.
    6. (f) It is outside the range of the data (extrapolation), so the linear trend may not continue.
    1. (a) Class P: 60, Class Q: 55. Class P is higher.
    2. (b) Class P: 25, Class Q: 30
    3. (c) 15 students
    4. (d) No (10 is between the fences)
    5. (e) Class Q has the larger IQR, so the middle half of its values is more spread out.

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