Question P6 An average is a total
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The average score of 5 students is 72. A sixth student joins and the new average becomes 74. What is the sixth student's score?
Answer
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Turn the average back into a total before doing anything with it.
In this one. The sixth score is not just the new average — it is the new average plus the lift it has to hand to each of the other five: 74 + 5 x 2 = 84.
The word 'average' appears alongside a group being split into two parts, or two separate journeys or trips being combined into one overall figure.
Children average two averages directly, such as averaging two speeds or two group averages, without weighting by how many, or how long, each part actually covers.
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