5.1 Data Representation and Interpretation

• Bar graphs and line graphs
• Mode, mean and median

• draw bar graphs of data from real-life situations
• interpret bar graphs of data from real-life situations
• draw line graphs of given data from real-life situations
• interpret line graphs of data from real-life situations
• identify the mode of a set of discrete data from real-life situations
• calculate the mean of a set of discrete data from real-life situations
• determine the median of a set of discrete data from real-life situations
• recognise the use of data representation and interpretation in real-life situations

“What are the different ways of representing data?”

“How do we determine the mean of data?”

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1. Collecting and tallying data
   40 min · 1 practice tasks · quiz
   Gathering real information from the class and turning a jumbled list into a frequency table.
2. Drawing a bar graph
   40 min · 1 practice tasks · quiz
   Turning a frequency table into bars of equal width with a scale that fits the page.
3. Interpreting a bar graph
   40 min · 1 practice tasks · quiz
   Answering questions from a finished bar graph, including comparisons and totals.
4. Drawing a line graph
   40 min · 1 practice tasks · quiz
   Plotting values that change over time and joining them in order.
5. Interpreting a line graph
   40 min · 1 practice tasks · quiz
   Reading values, changes and steepness from a line graph, and saying what the shape means.
6. Choosing the right graph
   40 min · 1 practice tasks · quiz
   Deciding between bars and a line by asking whether the values in between mean anything.
7. The mode
   40 min · 1 practice tasks · quiz
   The value that appears most often, from a list, a frequency table and a bar graph.
8. The mean
   40 min · 1 practice tasks · quiz
   The ordinary average: the total shared out equally, including from a frequency table.
9. The median
   40 min · 1 practice tasks · quiz
   The middle value once the data is in order, with the even-number case worked through.
10. Comparing the three averages
    40 min · 1 practice tasks · quiz
    Working out all three for one data set, and seeing what one very large value does to each.