Core: Kohikohi raraunga — Collecting data (Years 3–4)

Learning intention: We are learning to collect, sort and display categorical data.

Success criteria: I can ask a clear question, record answers using tally marks, count frequencies and describe what my data shows.

1. Choose one survey question. Ask at least 10 classmates and record one answer from each person.

Preferred fruit: apple, banana, orange or other.

Optional teacher-approved alternative: How do you travel to school?

My survey question: ____________________________________________________________

My categories: _________________________________________________________________

2. Complete the tally and frequency table.

Category Tally Frequency

________________ __________________ __________

Total responses: __________

3. Make a graph or data display of your results. Give it a title and label the categories.

4. What was the most common response? What evidence from your table supports your answer?

Extend: Te huringa tūhuratanga — Statistical investigation (Years 5–6)

Use the numerical data below. It shows the number of pages read by nine learners in one week:

4, 7, 5, 7, 3, 6, 7, 5, 2

5. Order the data from least to greatest.

________________________________________________________________________________

6. Identify the least, greatest, most common value, range and median.

Least: __________ Greatest: __________ Most common: __________

Range: __________ Median: __________

7. Describe one feature of the data and one way the data varies. Use numbers as evidence.

8. Compare two categories from your survey. Write a statement using evidence from the frequencies.

9. Identify one limitation or possible bias in your data collection. How could you improve it?

Challenge: Pātai tūhuratanga and responsible data (Year 7)

10. Write an investigative question that could be answered by collecting data from your class.

Example: How does the class travel to school on a typical day?

11. Choose an appropriate display for your question. Explain why it would help people see the pattern in the data.

12. Write a short conclusion about your survey. Include one result, evidence from your data and one comment about how responsibly the data was collected.

Teacher guidance and likely answers

Question 5: 2, 3, 4, 5, 5, 6, 7, 7, 7.

Question 6: Least = 2; greatest = 7; most common = 7; range = 5; median = 5.

Questions 1–4: Answers depend on the class survey. Check that every response is included once, tally marks are grouped in fives, frequencies are correct, the total matches the number surveyed, and the graph matches the table.

Questions 7–9: Accept evidence-based responses. Possible observations include that 7 is the mode, the values range from 2 to 7, and the median is 5. Limitations may include a small sample, surveying only one group, unclear categories, asking at one time of day, or people choosing an answer they think is expected.

Questions 10–12: Look for a measurable investigative question, a suitable display such as a bar graph for categories or a dot plot for numerical data, and a conclusion supported by frequencies or numerical values. Responsible collection should be voluntary, respectful, anonymous where appropriate and free from leading questions.