← Mathematics / 5 Data Handling and Probability

5.1 Data Handling

Mathematics · Grade 7 · 10 lessons in the design

What this covers

  • Meaning of data and collecting data from different situations
  • Tally and frequency distribution tables
  • Choosing a suitable scale for graphs
  • Pictographs
  • Bar graphs: drawing and interpreting
  • Pie charts: drawing and interpreting
  • Line graphs
  • Travel graphs and use of data in real life

What you will be able to do

  • state the meaning of data in a learning situation
  • collect data from different situations
  • draw a frequency distribution table of data from different sources
  • determine a suitable scale for graphs of data from different situations
  • draw pictographs of data from real-life situations
  • draw bar graphs of data from different sources
  • interpret bar graphs of data from real-life situations
  • draw pie charts of data from real-life situations
  • interpret pie charts of data from real-life situations
  • draw a line graph of data from different situations
  • interpret travel graphs from real-life situations
  • promote the use of data in real-life situations

Key questions

“Why do we collect data?”

“How do we represent data?”

“How do we interpret data?”

Lessons

The titles are open to everyone. Reading a lesson needs an account — sign in or create one.

  1. What data is, and collecting it
    40 min · 1 practice tasks · quiz
    Data are facts collected for a question; Grade 7 gathers counts from class, market, weather and travel with permission and honesty.
  2. Frequency distribution tables
    40 min · 1 practice tasks · quiz
    Tally raw lists in gates of five and write a frequency table whose frequencies add to the total.
  3. A suitable scale for graphs
    40 min · 1 practice tasks · quiz
    Choose a scale from the largest frequency so that a bar or picture fits the page and still shows differences.
  4. Drawing pictographs
    40 min · 1 practice tasks · quiz
    Draw a pictograph with a title, equal symbols and a key such as one bowl equals two learners.
  5. Drawing bar graphs
    40 min · 1 practice tasks · quiz
    Draw a bar graph with title, labelled axes, a stated scale, equal bar widths and a zero baseline.
  6. Interpreting bar graphs
    40 min · 1 practice tasks · quiz
    Read most, least, difference and total from a bar graph, then make a fair canteen decision.
  7. Drawing pie charts
    40 min · 1 practice tasks · quiz
    Turn frequencies into angles with (frequency / total) x 360°, then draw sectors with a protractor.
  8. Interpreting pie charts
    40 min · 1 practice tasks · quiz
    Read a pie as fractions and comparisons of one whole, and choose when a pie is better than a bar.
  9. Drawing line graphs
    40 min · 1 practice tasks · quiz
    Plot time on the horizontal axis and a quantity on the vertical, then join the points to show change.
  10. Travel graphs and using data
    40 min · 1 practice tasks · quiz
    Read a distance-time graph (steep is faster, flat is a stop) and promote data for canteen, weather, travel and community decisions.