## Exam-Style Question on Statistics## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 185. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

The charts below show the results of pupils in a Year Group answering twenty mental arithmetic questions.

What information from the diagrams can be used to support or counter each of these statements?

(a) Girls are better at mental arithmetic than boys.

(b) The range of the boys' times is greater than the range of the girls' times.

The Head of the school would like to use this data to make statements about all of the pupils in the school.

(c) Comment on whether any conclusions can be drawn for the whole school population from the results of this Year Group.

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