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Statistical Investigations: PPDAC and Two-Way Tables (Year 9)

Free printable NZ Year 9 maths worksheet: read a two-way table of survey data (totals, fractions, percentages, comparing proportions) and identify PPDAC enquiry-cycle stages.

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Grade 8 · Math worksheet
Name
Date
Math

Statistical Investigations: PPDAC and Two-Way Tables

A class surveyed 45 students about how they travel to school and recorded year level and transport type in the two-way table. Use the table for the data questions, then name the PPDAC stage each description belongs to.

BusWalkCarTotal
Year 9571325
Year 10510520
  1. 1.
    Using the two-way table, how many students were surveyed in total?
  2. 2.
    Using the two-way table, what fraction of the Year 9 students travel by bus? Give your answer in simplest form.
  3. 3.
    Using the two-way table, what percentage of the Year 10 students walk to school?
  4. 4.
    Using the two-way table, which year level has the higher proportion of students who walk to school? Compare the two percentages.
  5. 5.
    Using the two-way table, how many of the surveyed students travel by car in total?
  6. 6.
    This survey followed the PPDAC statistical enquiry cycle. Which stage of PPDAC is this: deciding to investigate the question 'How do students in different year levels travel to school?'?
    • a) Problem
    • b) Plan
    • c) Data
    • d) Analysis
    • e) Conclusion
  7. 7.
    This survey followed the PPDAC statistical enquiry cycle. Which stage of PPDAC is this: using the results to answer the original question, noting how the two year levels differ?
    • a) Problem
    • b) Plan
    • c) Data
    • d) Analysis
    • e) Conclusion
  8. 8.
    This survey followed the PPDAC statistical enquiry cycle. Which stage of PPDAC is this: calculating the totals and percentages for each year level and drawing a graph of the results?
    • a) Problem
    • b) Plan
    • c) Data
    • d) Analysis
    • e) Conclusion
  9. 9.
    This survey followed the PPDAC statistical enquiry cycle. Which stage of PPDAC is this: collecting the survey answers from each student and recording them in the table?
    • a) Problem
    • b) Plan
    • c) Data
    • d) Analysis
    • e) Conclusion
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