Mathematics and Statistics 2 for Aotearoa New Zealand Name:
Rich task 5.2
Displaying data
Jo asked 16 people to choose their favourite colour out of red, blue, green and yellow. This is what she found out.
There are 16 people in total
Blue was the most popular most
The same number of people like red and yellow = Green was the least popular least
1. Then Jo made a picture graph to show the results. Colour the boxes to show what the graph might have looked like.
Favourite Colours Blue
2. Is there more than one answer? Colour the graph to show a different way the graph might have looked.
Favourite Colours
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Teacher notes
Curriculum links
Visualisation of data
Interpretation
Y2 Knowledge Statements
Data visualisations are representations (including picture graphs and dot plots) of all available values for a variable that show the frequency for each value. Dot plots represent each data point with a dot of the same size.
Data visualisations are representations that help reveal the story of a set of data.
Possible answers
Blue 6, Red 5, Yellow 5, Green 0
Blue 8, Red 4, Yellow 4, Green 0
Blue 7, Red 4, Yellow 4, Green 1
Blue 6, Red 4, Yellow 4, Green 2
Blue 5, Red 4, Yellow 4, Green 3
Y2 Practice Statements
Creating data visualisations for categorical data
Describing data visualisations using the variable name and the context and giving the frequency for each category
Answering questions about data visualisations, including which category has the most or least items
Blue 10, Red 3, Yellow 3, Green 0
Blue 9, Red 3, Yellow 3, Green 1
Blue 8, Red 3, Yellow 3, Green 2
Blue 12, Red 2, Yellow 2, Green 0
Blue 11, Red 2, Yellow 2, Green 1
Blue 14, Red 1, Yellow 1, Green 0
What to notice and look for
Do the students accurately colour the graph and check that each statement is true?
Do they notice any patterns, e.g. it is impossible for more than 3 people to have chosen green
Do the students work systematically to deduce more than one possible answer?
© Oxford University Press 2026 Page 3
Permission has been granted for this page to be photocopied within the purchasing institution only. No part of this publication may be reproduced, stored in a retrieval system, transmitted, used for text and data mining, or used for training artificial intelligence.