Y10 Foundation: Topic 15 and 16: Informations from small data sets, Probability 1

Objectives:

    • Find the mode, the median, the mean, and the range for (small) sets of data
    • Use a stem and leaf diagram to sort data
    • Know the advantages/disadvantages of using the different measure of average
    • Compare distributions using a measure of average and the range

    • Use the language of probability to describe the likelihood of an event
    • Represent and compare probabilities on a number scale
    • List outcomes for single mutually exclusive events and write down their probability

Prior Knowledge:

    • Some experience of the measures of average
    • Ability to order numbers
    • Some idea of chance and the likelihood of an event happening; and recognition that some events are more likely than others
    • Experience of using the language of likelihood

Key Vocabulary:

  • Copy and paste here.

Differentiation & Extension:

    • Collect data from class — children per family etc
    • Find measures of average for data collected in a frequency distribution
    • Use stem and leaf diagrams with unusual stems, eg 234.1, 234.6, 235.1, ...
    • Discuss occasions when one average is more appropriate, and the limitations of each average
    • Compare distributions and making inferences, using the shapes of distributions and measures of average and spread, eg ‘boys are taller on average but there is a much greater spread in heights’
    • Write down probabilities of events that may or may not happen
    • Play simple probability games, predicting outcomes, eg horse race for sum of two dice

Using & Applying ideas:

  • Collaborate here.

NOTES
  • Students tend to select modal class but identify it by the frequency rather than the class description
  • Explain that the median of grouped data is not necessarily from the middle class interval
  • Where possible introduce practical work to support the theoretical work
  • Only fractions, decimals or percentages should be used for probability

Teaching & Learning Resources:


3D Shapes Resources