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  • Perplex
    IB Math AISL
    /
    Descriptive Statistics
    /

    Problem Bank

    [Maximum mark: 5]

    A school cafeteria manager surveyed students on how many days per week they buy lunch there. The results for a random sample are shown in the table below, where ​k​ is an unknown frequency:

    Days ​d​ per week

    ​0​

    ​1​

    ​2​

    ​3​

    ​4​

    ​5​

    Frequency ​f​

    ​20​

    ​35​

    ​k​

    ​55​

    ​25​

    ​10​

    It is known that the mean number of days per week a student buys lunch is ​2.3.

    1. State whether this variable is discrete or continuous.

      [1]
    2. Find the value of ​k.

      [3]
    3. To select this sample, the manager listed all students by their student ID number and then asked every ​8th​ student on the list to complete the survey. Identify the sampling technique used.

      [1]

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