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6 Statistics and probability

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3 topics · 28 learning objectives

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  1. 6.1 Graphical representation of data

    1. use different methods of presenting data Pictograms, bar charts and pie charts, and only two-way tables

    2. use appropriate methods of tabulation to enable the construction of statistical diagrams

    3. interpret statistical diagrams

    4. construct and interpret histograms For continuous variables with unequal class intervals

    5. construct cumulative frequency diagrams from tabulated data

    6. use cumulative frequency diagrams

  2. 6.2 Statistical measures

    1. 6.2.AThe concept of average

      Understand averages for data presented in lists or tables.

    2. 6.2.BThe mean, median, mode and range for a discrete data

      calculate the mean, median, mode and range for a discrete data set Includes simple problems using these measures

    3. 6.2.CEstimating the mean from grouped data

      Calculate an estimate of the mean from grouped data.

    4. 6.2.DThe modal class for grouped data

      identify the modal class for grouped data

    5. 6.2.HAThe median from a cumulative frequency diagram

      estimate the median from a cumulative frequency diagram

    6. 6.2.HBMeasures of spread

      Understand the concept of a measure of spread.

    7. 6.2.HCInterquartile range from discrete data

      find the interquartile range from a discrete data set The terms ‘upper quartile’ and ‘lower quartile’ may be used

    8. 6.2.HDThe interquartile range from a cumulative frequency

      estimate the interquartile range from a cumulative frequency diagram

  3. 6.3 Probability

    1. Use probability language including outcomes, equal likelihood, events and randomness.

    2. understand and use the probability scale P(certainty) = 1 P(impossibility) = 0

    3. understand and use estimates or measures of probability from theoretical models

    4. find probabilities from a Venn diagram

    5. Understand sample spaces and events, and determine event probabilities from a sample space.

    6. List outcomes systematically for single events and for two successive events.

    7. estimate probabilities from previously collected data

    8. calculate the probability of the complement of an event using P(A′) = 1 − P(A)

    9. use the addition rule of probability for mutually exclusive events P(Either A or B occurring) = P(A) + P(B) when A and B are mutually exclusive

    10. understand and use the term ‘expected frequency’ Determine an estimate of the number of times an event with a probability of 0.4 will happen over 300 tries

    11. draw and use tree diagrams

    12. determine the probability that two or more independent events will occur

    13. use simple conditional probability when combining events Picking two balls out of a bag, one after the other, without replacement

    14. apply probability to simple problems