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Question P6 An average is a total

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Shop sales — a sixth day pulls the average down

A shop recorded sales of $420, $380, $510, $490, and $450 over five days. What is the average daily sale? On the sixth day, the average sales over all six days was $450. What were the sales on the sixth day?

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About this method

An average is a total

Turn the average back into a total before doing anything with it.

In this one. A new value only moves an average if it differs from it — the average was already $450 and stayed $450, so the sixth day must be $450 itself.

What you are given5 children, average 6each6 sweets each — an average, so nothing can be added yetWhat you work withtotal = 5 × 6 = 30the total30 sweets — this can be split and added

How to spot it

The word 'average' appears alongside a group being split into two parts, or two separate journeys or trips being combined into one overall figure.

Common mistake

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.

Practise a similar question

Standard A bakery recorded its sales over 5 days: $42, $48, $55, $51 and $44. What was the average daily sales amount over the 5 days?
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