Math K-7 IRP Statistics and Probability (Data Analysis)

Students collect, display, and analyse data to make predictions about a population.


Prescribed Learning Outcomes Illustrated Examples

It is expected that students will:
  • formulate questions that explore whether or not a relationship exists in a real-world context

  • select and justify appropriate methods of collecting data (designing and using questionnaires, interviews, experiments, research)

  • display data by hand or by computer in a variety of ways, including circle graphs
  • -> Design a questionnaire containing five questions to obtain information you would like from your classmates. Design at least one question to collect numerical data.
    • Survey 10 students, keeping track of the results.
    • Complete the survey by giving the questionnaire to the remainder of the students.

    Compare your results from the first 10 students with those from a survey of all Grade 7 students, using the same questionnaire. What may account for any differences or similarities?

    Enter the data into a database, after setting up the necessary categories. Use some of the features of the database to create two or three different reports, using a variety of the information collected.

    Enter the numerical data into a spreadsheet and have the computer generate two or three different types of graphs. Which graph is most effective in displaying information. Why? What conclusions can you draw from the data collected?

  • read and interpret graphs that are provided
  • -> Find some graphs in your local newspaper. Working in a group, discuss the following questions:
    • Does the data give the information indicated?
    • Is the type of graph appropriate for the data?
    • Have scales, pictures, or data groupings been selected to distort data?
    • Does the graph present data clearly? Is it visually appealing?

  • determine measures of central tendency for a set of data:
    • mode
    • median
    • mean
  • -> One measure of central tendency for a set of five numbers is 23. What might the numbers be? Find an example for each measure of central tendency.

  • determine measures of the distribution of a set of data:
    • range
    • extremes, gaps, and clusters
    • quartiles
  • -> [No example for this prescribed learning outcome.]

  • interpolate from data to make predictions
  • -> Collect data on the population of your school over the last 10 years. Graph the information.
    • What would you predict the school population will be in six years? What trends do you see in the population? Can you suggest any reasons for these trends?
    • Would enrolment figures suggest a need to increase the size of your school facility in the next 10 years? Why or why not?

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