Technology Education IRPAppendix F: Illustrative Examples
Mathematics 8


STATISTICS AND PROBABILITY (Data Analysis)

In order to prepare students to develop and implement a plan for the collection, display, and analysis of data, using technology as requiredand evaluate and use measures of central tendency and variability, it is expected that students will:

Prescribed Learning Outcomes
Illustrative Examples

  • formulate questions for investigation, using existing data

Find some data collected and presented in a local newspaper that are related to a current civic, regional, or health issue.

- Do the data seem to support the conclusions the newspaper makes?

- Are the data presented in a fair, clear, and appropriate manner?

- What questions about the issue are not addressed?

 

  • select, defend, and use appropriate methods of collecting data:
    • designing and using surveys
    • research, using electronic media

*How much household garbage is produced in our homes? In the average home in Canada? Design a questionnaire to investigate this problem. Justify your questions. Explain how you will carry out this survey. Could you collect data via e-mail or the Internet? How can you use a computer to record, organize, and display your data?

 

Survey students on their weekly allowance, put the data in a table, and graph it as a histogram.

 

  • display data by hand or by computer in a variety of ways

Play a memory game with your class. Write 16 words on the board or overhead projector. Let everyone look at them for two minutes. When the time is up, each person writes as many words as he or she remembers. Collect the data (number of words remembered). Find the median and quartile scores, and make a box-and-whisker plot. Why is this method of displaying variability useful?

 

Using published data, find the life expectancy for females of 20 different countries. Graph the results using a box-and-whisker plot.

 

  • determine and use the most appropriate measure of central tendency in a given context

Explain why each of the following people might select the mean, median, or mode in a set of data.

- A storeowner deciding what sizes of shoes to order

- Someone moving to a new city and looking at housing costs

- Reporting the average score on a test


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