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  • Perplex
    IB Math AASL
    /
    Descriptive Statistics
    /

    Problem Bank

    [Maximum mark: 8]

    The resting body temperature, in degrees ​°C, of 6 adults is measured and recorded alongside their age, in years, in the table below.

    Age (Y)

    ​41​

    ​46​

    ​49​

    ​51​

    ​55​

    ​61​

    Temperature (C)

    ​37.7​

    ​​​37.2​

    ​37.1​

    ​​​39.2​

    ​36.8​

    ​36.6​

    1. State the age of the outlier in this data set.

      [1]

      To earn a crown, get your answer ready before you reveal the options!

    2. Suggest one reason the outlier identified in (a) should not be included in any further analysis.

      [1]

    The relationship between ​Y​ and ​C​ can be modelled by the equation ​C =aY+b.

    1. Find the value of ​a​ and the value of ​b.

      [2]
    2. Find and interpret the value of Pearson's product-moment correlation coefficient, ​r, for these data.

      [2]
    3. Use the model ​C =aY+b​ to estimate the body temperature of a newborn, and explain why this is unlikely to be reliable.

      [2]

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