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  • Dashboard
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Paper 3
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[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]
    1 free
  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]
[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]
    1 free
  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]