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Exam-Style Questions.Problems adapted from questions set for previous Mathematics exams. |
1. | GCSE Higher |
Jimmy is ordering the t-shirts for the community choir which has 240 members.
He asks a sample of 36 members what colour the t-shirts should be. Each members chooses one colour.
The table shows information about his results.
| Colour | Number of members |
|---|---|
| Blue | 6 |
| Red | 3 |
| Green | 7 |
| Yellow | 5 |
| Purple | 2 |
| Black | 6 |
| White | 7 |
(a) Work out how many of the 240 members you think will want black t-shirts.
(b) State any assumption you made and explain how this may affect your answer.
2. | IB Applications and Interpretation |
The Student Council in a large school conducted a survey to find out how many classes assigned homework for students to complete.
The data is shown in the following table.
| Number of classes with homework | 0 | 1 | 2 | 3 | 4 | 5 |
| Number of students | 16 | 25 | 28 | 18 | \(n\) | 3 |
(a) State whether the data is discrete or continuous.
(b) Given that mean number of classes in which a student was given homework is 1.9; Find the value of \(n\).
The Student Council selected students at random from each Year Group to take part in this survey. The number of students selected from each Year Group was proportional to the number of students in that Year Group.
(c) Identify the sampling technique used in the survey.
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