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Data and chance, grade 6

Sixth-grade data and chance.Subjects

The topics, in order:

  • frequency tables and charts;

  • relative frequency;

  • the mode, the mean and the median;

  • chance: what is more likely, and what the chance is;

  • experiments: a coin, a die and a dreidel.

  • Learning lessons explain a topic with examples, and have a few questions to try.

  • Practice lessons are all questions.

  • Go in order.

How the page works: Using a page.

  1. Data and the frequency tableLearningData from a class survey, a frequency table and how to check it, data that are numbers, and reading a table: the most frequent, how many more, how many in all.
  2. Bar charts and line chartsLearningFrom a frequency table to a bar chart, a line chart for something that changes over time, reading a chart and drawing a bar chart.
  3. Relative frequencyLearningThe relative frequency – the frequency divided by the number of all the data – as a fraction, a decimal and a percentage; they add up to 1; comparing groups of different sizes; and from relative frequency back to frequency.
  4. The mode, the mean and the medianLearningThe mode – the most frequent value; the mean – the sum of the data divided by how many there are, as sharing equally; when the mode describes the data better than the mean; and the median – the value in the middle.
  5. Practice: dataPracticeFrequency tables, bar charts, relative frequency, the mode, the mean and the median.
  6. Chance from dataLearningWhat is more likely, by the relative frequency; the chance as a number from 0 to 1 – from impossible to certain; rain on the day of a trip; and choosing the computer least likely to fail.
  7. Experiments: a coin and a dieLearningAn experiment and its outcomes, a symmetric coin – "fifty-fifty", two possibilities that are not fifty-fifty, the chance of each outcome of a die, and an event: the chance of an even number.
  8. Relative frequency in the long runLearningSpinning a dreidel: a pupil, a group and the class; the relative frequency coming close to the chance when an experiment is repeated many times; and estimating a chance from an experiment – a drawing pin and a bottle cap.
  9. Review: data and chancePracticeQuestions from the whole course: a table and a chart, relative frequency, the mode, the mean and the median, the chance from data, a coin, a die and marbles in a bag, and relative frequency in the long run.
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