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Topic: Collecting Data (Higher - Unit 1)

Specification References: S3.2h

S3.2h Produce charts and diagrams for various data types. Scatter graphs, stem-and-leaf, tally charts, pictograms, bar charts, dual bar charts, pie charts, line graphs, frequency polygons, histograms with equal or unequal class intervals, box plots, cumulative frequency diagrams, relative frequency diagrams.


Candidates should be able to:

  • draw any of the above charts or diagrams
  • draw composite bar charts as well as dual and multiple charts
  • understand which of the diagrams are appropriate for different types of data
  • complete an ordered stem-and-leaf diagram

Notes

This reference includes all the requirements of S3.2 and some additional requirements for the Higher tier only.
See also S4.1
Candidates may be asked to draw a suitable diagram for data. An understanding of the type and nature of the data is expected from the candidate in order to make a choice. Axes and scales may or may not be given.
Cumulative frequency diagrams will only be for continuous data and may be curves or polygons.

Examples

  1. The table shows the time taken for 100 runners to finish a fun run.

    Time, t (minutes) Frequency
      8
      26
      51
      15

    Draw a cumulative frequency diagram for the data.

view more examples

  1. The table shows the length of 100 bolts.

    Length l (mm) Frequency
      12
      25
      30
      19
      14


    Show this information in an appropriate diagram (histogram expected – cumulative frequency would not be considered the best option here)


  2. (cumulative frequency diagram given and some information about the max and min)
    Use the diagram to produce a further diagram which will show the spread of the distribution.