# Australian Bureau of Statistics

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CaSMa01 - Eye Colour

You can download this activity, the teacher solutions and the assessment rubric as a rich text file (RTF) at the bottom of the page. Download our printer friendly Prepared Samples as Excel files or access data using the Random Sampler.

1. Subject Area

Mathematics

2. Suggested Level

Years 3-7

3. Key Statistical Literacy Competencies Addressed
• Data awareness
• The ability to understand statistical concepts
• The ability to analyse, interpret and evaluate statistical information
• Communicating statistical information and understandings

4. Overview
This classroom activity involves examining the eye colour of the students in your class. Students are asked to conduct a series of analysis, ranging from simple, using graphs to describe how the student's class compares to a sample population, by: (a) comparing their class data with a hypothetical sample; and, (b) taking a real sample from the CensusAtSchool Random Sampler.

5. Requirements
• Computer with Internet connection
• Spreadsheet software program
• Pens and paper
• Worksheet

6. Instructions

Michael Wonders...

While Michael was filling out the CensusAtSchool questionnaire, he stopped at the question about eye colour and remembered a maths task he had done with his class. In the task he had surveyed the students in his class about their eye colour. He had created a frequency table of the information and drawn a graph of the results. He wondered if all classes would be the same. He then wondered if his class would be a typical Australian class.

When Michael looked back in his book he found the frequency table below.

 EYE COLOUR OF STUDENTS IN MICHAEL'S CLASS Eye Colour Number of Students Blue 12 Brown 4 Green 3 Grey 0 Hazel 7 Other 0

He was surprised to find that blue was the most common colour and there were so few with brown eyes.

Task One: Is your class the same as Michael's class?

1. Survey the students in your class to find the most common eye colour. Use the table of eye colour (below) for your class and compare it to the table for Michael's class.

 EYE COLOUR OF STUDENTS - Comparing Classes Eye Colour Michael's class My Class Blue 12 Brown 4 Green 3 Grey 0 Hazel 7 Other 0 Total

2. How do the classes differ?

3. Draw two different graphs to compare Michael's class to your class.
Column graphs, dot plots and pie charts are often used to represent categorical data like eye colour.

Comparisons can be made more easily by having both classes on the same column graph, using a different colour for each class.

4. Is it fair to make comparisons between two classes that have different numbers of students? Give reasons for your answers.

Task Two: Is your class a typical Australian class?

5. Go to the CensusAtSchool web site (www.abs.gov.au/censusatschool) and obtain a sample from the Random Sampler to carry out your investigation. Make sure the sample size is the same size as your class.

6. Prepare a frequency table to record the eye colour of students in your sample.
(Hint: It will be easier to count the number of students in each category if you sort the data first. If you are good at Excel it will be even easier if you use the COUNTIF function to do the counting for you)

7. Draw a graph to represent your random sample.

8. Compare the results for your class with the data sample obtained from the Random Sampler.

9. Explain how your random sample differs from your class survey.

10. Comparing the percentage of student eye colour makes more sense when the group sizes are not the same . Fill in the table below with the data from your class, Michael’s class and the random sampler. Calculate the fraction and then the percentage.
(Hint: to calculate percentage = eye colour ÷ total x 100)

 EYE COLOUR OF STUDENTS - Percentage Eye Colour My Class My Class Fraction My class % Michael’s Class Michael’s Class Fraction Michael’s class % Random Sample Random Sample Fraction Random Sample % Blue Brown Green Grey Hazel Other Total 100% 100% 100%

11. Draw a new graph, this time using the percentage of students instead of the number of students.

12. How does the graph using percentage differ from the earlier graph?

13. What is the advantage of using percentage instead of the number of students?

14. Which set of graphs gives the best comparison between the data for the different classes?

 Student Worksheet Teacher Solutions Assessment Rubric

To provide any feedback regarding this activity, please contact ABS Education Services on 1800 623 273 or email education@abs.gov.au.

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