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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. 6.1.ADifferent methods of presenting data Pictograms, bar

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

    2. 6.1.BTabulating data for statistical diagrams

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

    3. 6.1.CStatistical diagrams

      interpret statistical diagrams

    4. 6.1.HAHistograms

      construct and interpret histograms For continuous variables with unequal class intervals

    5. 6.1.HBCumulative frequency diagrams from tabulated data

      construct cumulative frequency diagrams from tabulated data

    6. 6.1.HCCumulative frequency diagrams

      use cumulative frequency diagrams

  2. 6.2 Statistical measures

    1. Understand averages for data presented in lists or tables.

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

    3. Calculate an estimate of the mean from grouped data.

    4. identify the modal class for grouped data

    5. estimate the median from a cumulative frequency diagram

    6. Understand the concept of a measure of spread.

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

    8. 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