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Exam-Style Questions on Averages

Problems on Averages adapted from questions set in previous Mathematics exams.


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.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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