15.5 Representing data Activities

Objectives:

By the end of this lesson, we will be able to 

• choose how to represent data.
• know how to collect data through surveys, experiments, or research to ensure it is relevant to the objectives.

Representing data Activities:

Please take a look at these activities, and choose one of them to do your performance assessment.

• In this section, instead of an exercise, you have an activity to do. You can work with a partner or on your own. You can represent the data in any way you choose, but first, you should ask yourself these questions:
  • Is the data discrete or continuous?
  • Is the data individual pieces of data or grouped data?
  • What type of chart or graph is suitable for this data?
  • What type of chart or graph will best represent this data?

Activity 1: Venn and Carroll Diagrams

Choose a topic of interest, such as favourite sports or books, and create Venn and Carroll diagrams to represent the data. Compare and contrast different categories, identifying overlaps and differences. Use colourful markers or digital tools to make your diagrams visually appealing and easy to interpret.

Activity 2: Line Graphs

Collect data on a specific subject, such as daily temperature or stock market prices, and create a line graph to display the trends and patterns over time. Pay attention to labeling the axes, selecting appropriate intervals, and using clear and accurate data points. Analyze the graph to draw conclusions and make predictions based on the data.

Activity 3: Scatter Graphs

Gather data pairs related to two variables, such as height and weight or study time and test scores, and create a scatter graph. Plot the data points on the graph and observe the relationship between the variables. Determine if there is a correlation or any outliers. Use different symbols or colors to represent different categories if applicable.

Activity 4: Stem-and-Leaf Diagrams, Tally Charts, and Frequency Tables

Collect data on a specific topic, such as the number of siblings or favorite colors, and represent the data using stem-and-leaf diagrams, tally charts, and frequency tables. Organize the data systematically and calculate frequencies. Compare different representations and discuss their advantages and limitations.

Activity 5: Frequency Polygons

Using data from a survey or experiment, create a frequency polygon to display the distribution of a variable. Plot the midpoints of each interval on the x-axis and the corresponding frequencies on the y-axis. Connect the points to form a smooth curve. Analyze the shape of the polygon and draw conclusions about the data.

Activity 6: Two-Way Tables

Gather data related to two variables, such as gender and favourite hobbies, and organize it in a two-way table. Cross-tabulate the data to analyze the relationship between the variables. Use percentages or proportions to compare the distributions and draw conclusions.

If you have any questions or need further guidance, don't hesitate to reach out to me or your fellow classmates.