# Exam-Style Question on Statistics

## A mathematics exam-style question with a worked solution that can be revealed gradually

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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) $$0\lt n \le 10$$ $$10\lt n \le 20$$ $$20\lt n \le 30$$ $$30\lt n \le 40$$ $$40\lt n \le 50$$ $$50\lt n \le 60$$ $$60\lt n \le 70$$ $$70\lt n \le 80$$ Frequency 3 7 33 42 54 35 20 6

(a) Use the data in the table above to complete the following cumulative frequency table

 Mark (n) $$n \le 10$$ $$n \le 20$$ $$n \le 30$$ $$n \le 40$$ $$n \le 50$$ $$n \le 60$$ $$n \le 70$$ $$n \le 80$$ Cumulative Frequency 200

(b) Draw the cumulative frequency curve on graph paper.

(c) Use your graph to estimate the lowest mark that B grade will be awarded for.

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