## 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) | \(0\lt n \le 10\) | \(10\lt n \le 20\) | \(20\lt n \le 30\) | \(30\lt n \le 40\) | \(40\lt n \le 50\) | \(50\lt n \le 60\) | \(60\lt n \le 70\) | \(70\lt n \le 80\) |

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.

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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