A survey records each pupil's favourite colour. The answers are words, so they cannot be added together and cannot be placed in order of size. Which average can still be reported for this data?

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Finding which colour is named most often needs only counting, so it works on answers that are words rather than numbers. The median comes closest to being usable, but it requires the data to be arranged from smallest to largest before a middle can be identified, and colours have no size to be arranged by.