Exam-Style Question on Statistics
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 153. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.
The table shows the marks earned by 200 students taking a Maths exam.
|Mark (n)||\(0\lt n \le 10\)||\(10\lt n \le 20\)||\(20\lt n \le 30\)||\(30\lt n \le 40\)||\(40\lt n \le 50\)||\(50\lt n \le 60\)||\(60\lt n \le 70\)||\(70\lt n \le 80\)|
(a) Use the data in the table above to complete the following cumulative frequency table
|Mark (n)||\(n \le 10\)||\(n \le 20\)||\(n \le 30\)||\(n \le 40\)||\(n \le 50\)||\(n \le 60\)||\(n \le 70\)||\(n \le 80\)|
(b) Draw the cumulative frequency curve on graph paper.
The top 5% of students will receive an A grade. The next 15% of students will receive a B grade and the next 30% will receive a C grade.
(c) Use your graph to estimate the lowest mark that B grade will be awarded for.
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