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P6 An average is a total

Today’s problem — free all day, every step. Every day has one.

A bakery's week — average daily sales

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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$48 a day.

One step of the worked solution to A bakery's week — average daily sales, drawn in pencil.
6 steps, drawn in pencil

The pattern behind it: An average is a total

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

In this one. An average is the total shared equally, so it lands between the low days and the high days — $48 is below the best day's $55, not equal to it.

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.

Try one like it

Standard A cyclist's five checkpoints — average speed A cyclist's speed was recorded at 5 checkpoints along a race: 18 km/h, 22 km/h, 26 km/h, 24 km/h and 20 km/h. What was the average…
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