MathBrush
←  All problems

P6 An average is a total

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

Five market stalls — the average donation

A bar graph shows the amount donated by five market stalls to a charity drive. Stall A donated $12.50, Stall B donated $8.50, Stall C donated $15.00, Stall D donated $9.00, and Stall E donated $10.00. What is the average donation per stall?

▶  Watch it drawn
Show the answerHide the answer

The average donation per stall was $11.00.

One step of the worked solution to Five market stalls — the average donation, 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 not read off the tallest or the middle bar — it is the total shared equally: add every value first, then divide by how many there are.

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 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?
All 23 with this pattern →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

A PDF, and a note when new solutions go up.