## Exam-Style Questions on Averages## Problems on Averages adapted from questions set in previous Mathematics exams. |

## 1. | GCSE Higher |

The following table show data collected by a researcher about the length of monitor lizards living in a park in Bangkok.

Length (cm) | Frequency |
---|---|

\(0\lt l \le 50\) | 9 |

\(50\lt l \le 100\) | 13 |

\(100\lt l \le 150\) | 22 |

\(150\lt l \le 200\) | 19 |

\(200\lt l \le 250\) | 11 |

\(250\lt l \le 300\) | 3 |

(a) Which is the modal group?

(b) Calculate an estimate for the mean lizard length.

(c) The researcher claims that the range of lengths must lie between 2m and 3m. Explain how the researcher came to this conclusion.

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