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## Functional Question Higher (Statistics 1)

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**Functional Question**Higher (Statistics 1) For the week beginning ….**Assessment Objective - AO3**Developing AO3 skills is a process that depends on giving learners confidence to: · Try different approaches · Make mistakes and rectify them in a constructive environment · Justify decisions and explain consequences · Express ideas and communicate conclusions in a variety of ways and to different audiences. AO3 seeks to assess a learner’s ability to: · Process information · Pose problems and pursue them · Conjecture and investigate within mathematics · Reason concisely · Evaluate and check methods and results · Present solution(s) effectively There is a link to the three strands in Functional Mathematics: · Represent (strategy) · Analyse · Interpret However, not all AO3 questions will be “functional”.**Mean, Mode, Median and Range (Foundation/Higher)**Write down five numbers that have a mean of 5 Write down five numbers with a mean of 5 and a range of 6 Write down five numbers with a mean of 5 and a range of 1 What do all the answers have in common? Write down five integers with a mean of 5 and a range of 1 Possible questions · How did you work out your answers? · What information does the range give you? · What can you say about two sets of numbers that have the same mean but different ranges? · Why can you not answer the last question? · Write some related questions like this and try them on others in the group.**AO3 question (Higher)**Two Year 11 classes both took the same test. These tables summarise results for the two classes. The class with the better marks will receive a prize. Which class should be given the prize? [6]