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Data and probability, grade 7

Seventh-grade data and probability.Subjects

The topics, in order:

  • collecting information, and reading tables and charts critically;

  • grouped data and two-way tables;

  • relative frequency: a fraction, a decimal and a percentage, and the pie chart;

  • comparing groups of different sizes;

  • probability: estimated from relative frequency, from 0 to 1, and the expected count.

  • 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. Collecting and reading informationLearningA question and the data that answer it, a good survey question, whom to ask – a sample, a chart whose axis does not start at 0, and what is missing from published data.
  2. Grouped data and two-way tablesLearningA frequency table of data in equal groups and its bar chart; the two-way table – two questions together, and the sums of its rows and columns; and the double bar chart.
  3. Relative frequency: a fraction, a decimal and a percentageLearningThe relative frequency in three ways and going between them, the relative frequencies adding up to 1, a rounded relative frequency, the relative frequency of several values together, and the pie chart.
  4. Comparing groups of different sizesLearningCounts that mislead when the groups differ in size, comparing by relative frequency, from a two-way table to percentages in each row, and reading a newspaper headline critically.
  5. Practice: information and relative frequencyPracticeSurvey questions and samples, grouped data, two-way tables, relative frequency in three ways, pie charts, comparing groups and an axis that does not start at 0.
  6. Estimating probability from relative frequencyLearningExperiment, event and probability; without symmetry, the probability is estimated by the relative frequency in many trials; flipping a bottle; the relative frequency settling down; and an estimate that is not certain.
  7. Probability from 0 to 1 and the expected countLearningProbability as a number from 0 to 1, impossible and certain events, a relative frequency of 0 in a few trials, and the expected count – the probability times the number of trials.
  8. Practice: probabilityPracticeEstimating probability from relative frequency, certain and impossible events, how reliable an estimate is, and the expected count.
  9. Review: data and probabilityPracticeQuestions from the whole course: survey questions and samples, grouped data, two-way tables, relative frequency and pie charts, comparing groups, a misleading chart, estimating probability and the expected count.
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