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Summaries · Grade 6 Maths › Data handling
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Data handling

Collecting, organising and showing data in bar graphs, pictographs and pie charts. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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The data cycle

  1. Ask a question.
  2. Collect data (questionnaire, tally marks).
  3. Organise it in a table.
  4. Represent it in a graph.
  5. Read and discuss the results.
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Graphs

0246810AppleBananaPearGrape
The tallest bar is the most popular
  • Bar graph: bars of equal width with gaps; read the height on the scale.
  • Pictograph: pictures; the key says what one picture is worth.
  • Pie chart: slices of a circle; the whole circle is the whole group. Half the circle = half of the group; a quarter of the circle = a quarter of the group.

Read the graph: find the top of the bar and read across to the scale. Banana = 9 and Pear = 3, so 9 − 3 = 6 more learners chose banana. Altogether: 6 + 9 + 3 + 5 = 23 learners.

Meerkat tip

Give every graph a title and label both axes.

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Mode and median

Data: 7, 2, 9, 4, 2. Order it first: 2, 2, 4, 7, 9. Mode = 2 (it occurs twice). Median = 4 (the middle value).

Rule

With an even number of values, e.g. 3, 4, 6, 8, the median is halfway between the two middle values: (4 + 6) ÷ 2 = 5.

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Double bar graphs, intervals and predictions

  • A double bar graph shows two groups side by side, e.g. boys’ and girls’ favourite sport; a key says which colour is which.
  • Group many numbers in intervals: marks 0–9, 10–19, 20–29 …
  • The mode occurs most often; the median is the middle value after you have ordered the data.
  • Write a short conclusion and make a prediction: “More learners prefer soccer, so the school should buy more soccer balls.”
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Remember this and test yourself

Remember this: your summary
  • Ask, collect, organise, represent, read.
  • Tally marks: four lines and the fifth across.
  • Bar graph: read the height on the scale.
  • Pictograph: check the key.
  • Pie chart: the whole circle is the whole group.
  • Median: order first, then the middle value.

Write these points in your book. Read them again the night before the test.

Memory trick

Ask, Collect, Organise, Show, Discuss: the data cycle.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Now the real quiz!

The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.

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For parents
  • Let your child work the examples on paper and explain them to you.
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Follows CAPS for Grade 6 Mathematics. Always check your teacher’s notes and textbook too.

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