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Drawing graphs and charts the Cambridge way

Experimental skills · Practical skills · note 3 of 7

Drawing graphs and charts the Cambridge waySpec S3

In short

A line graph is used when the independent variable is continuous, such as temperature, while a bar chart, with bars that do not touch, is used for categories. Put the independent variable on the x-axis, label axes with quantity and unit, use more than half the grid, plot small crosses and draw a single thin best-fit line or curve.

First choose the right kind of chart. The choice depends on whether the independent variable is continuous (any value on a scale) or categorical (separate groups).

Choosing a graph or chart
TypeUse it forRule
Line grapha continuous independent variable, such as temperature or timeplot points, then a best-fit line or curve
Bar chartcategorical or discrete data, such as blood groups or speciesbars of equal width that do not touch
Histogramcontinuous data grouped into classes, such as height in 5 cm groupsbars that touch
Pie chartpercentages or proportions of a wholesectors add up to 100 %
A bar chart of number of students against blood group (A, B, AB, O) with separate bars that do not touch, beside a histogram of number of students against height / cm in classes 140–149 to 170–179 with bars that touch. (opens full size in a new tab)
A bar chart for categorical data has gaps between the bars; a histogram for continuous data has bars that touch.

Rules for a line graph

  • Use a sharp pencil.
  • Put the independent variable on the x-axis and the dependent variable on the y-axis, unless told otherwise.
  • Label each axis with the quantity and unit, using the table headings: temperature / °C.
  • Choose scales that use more than half the grid in both directions, with 2 cm representing 1, 2 or 5 units (or 10, 20, 50 …). The axes do not have to start at (0, 0).
  • Plot each point as a small cross (×) or an encircled dot (⊙), to within half of the smallest square.
  • Draw a single, thin, smooth best-fit line or curve, with points spread evenly on either side. Ignore clearly anomalous points.
  • Only draw a best-fit line if you can expect to predict values between the points. If asked to join the points instead, use ruled straight lines from point to point.
  • Do not extend the line beyond the first and last points unless you are asked to extrapolate.

Choosing a graph scale

The temperature in an experiment ranges from 10 °C to 60 °C. The rate ranges from 4 to 46 bubbles per minute. The graph grid is 16 cm wide and 20 cm high, in 2 cm squares. Choose a scale for each axis.

  1. x-axis (temperature): try 2 cm = 5 °C. From 10 to 60 °C is 50 °C, which needs 10 squares = 20 cm. That is too wide for a 16 cm grid.
  2. Try 2 cm = 10 °C. From 0 to 60 °C needs 6 squares = 12 cm. This is more than half of 16 cm, so it is acceptable.
  3. y-axis (rate): try 2 cm = 5 bubbles per minute. From 0 to 50 needs 10 squares = 20 cm. This fills the grid.
  4. Reject 2 cm = 20 bubbles per minute: 0 to 60 uses only 6 cm, less than half the height. Reject 2 cm = 3: it is an awkward ratio that makes plotting and reading hard.

Answer: x-axis: 2 cm = 10 °C. y-axis: 2 cm = 5 bubbles per minute.

A line graph of rate of photosynthesis / bubbles per minute against temperature / °C on graph paper, with points plotted as small crosses, an anomalous result circled and ignored, a smooth best-fit curve that stops at the last point, dashed interpolation lines, and callouts for quantity / unit, the scale, more than half the grid used and axes that need not start at 0. (opens full size in a new tab)
A correctly drawn line graph: axis titles as quantity / unit, small crosses, a thin smooth best-fit curve and the anomalous result ignored.

Reading and describing a graph

Read values to within half of the smallest square, and draw lines on the graph to show how you read them. Interpolation means reading a value between plotted points. Extrapolation means extending the line beyond the plotted points to predict a value. For a straight line, the gradient = change in y ÷ change in x, which gives a rate.

Exam tip:

To describe a graph, give the overall trend, any change in trend or peak, and quote data with units, for example 'the rate increases from 10 °C to a maximum of 31 bubbles per minute at 40 °C, then falls'.

Written and checked against the Cambridge IGCSE Combined Science (0653) specification · Updated October 2026