Exam Style Question
Worked solutions to typical exam type questions that you can reveal gradually
Question id: 153. This question is similar to one that appeared in 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.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
©1997 - 2017 Transum Mathematics :: For more exam type questions and worked solutions go to Transum.org/Maths/Exam/