Statistics • Data · Stretch and explain
A survey with clues
Twelve votes are shared among apples, bananas and oranges. Each gets at least one; apples get more than bananas, and bananas more than oranges. Show two possible results as charts.
Give it a go
Try ideas with the activity tools, draw your thinking, or explain it in words. There may be more than one useful response. This activity does not save or submit your work.
What this explores
Constrained data and representation. Use the same scale on both charts so their heights are comparable. Check the total, minimum votes and strict ordering separately.
A starting nudge
Start with the smallest possible number of orange votes. How many must bananas and apples then have?
Take it further
What is the greatest number of orange votes that could satisfy all the clues?
For teachers
Ask students to compare strategies and explain what makes their response valid. These difficulty bands are provisional, not verified curriculum or year-level alignments.
Open the activity to create a QR code with a free teacher account. Work is not saved or sent to a teacher. Assignment integration is not available here.