All graph skills lessons
GRAPH SKILLS · LESSON 4 OF 8

Awkward values: 11, 47, 116

Uneven numbers that tempt you to use the data as the scale. Choose the scale from the range instead.

Practice data: Irregular values such as 11, 47, 116, and uneven gaps between x values.

When the numbers are not tidy

Real results are rarely 10, 20, 30. With values like 11, 47 and 116 it is tempting to write them along the axis. Do not: choose the scale from the range, exactly as before, then plot each value by counting small squares.

The x values may be uneven too (0, 4, 9, 17, 28, 41 s). The scale on the x-axis is still even. The points just are not evenly spaced across it, and that is correct.

Never use the raw data as your scale.

049172841
✗ Avoid Raw data on the x-axis: the points will look evenly spaced, which hides the real pattern.
01020304050
✓ Good Even scale: 10 per big square, so 41 is 4 big squares and 1 small square.

Plotting an awkward value

Find the big line just below the value, then count small squares. With 20 per big square, one small square is 4. For 47: the 40 line, then 7 ÷ 4 = 1.75 small squares up. You need to be within half a small square, so put it just under 2 small squares above the 40 line.

The SLAPUK mark scheme

SLAPUK

Out of 5 (S L A P U). Out of 6 (S L A P U K) when there is more than one data set on the graph.

  1. Scale

    Even steps of 1, 2, 5 or 10 (×10ⁿ), and the data uses more than half the grid each way. Never use the raw data as your scale.

  2. Line

    Join the points with straight lines using a ruler, point to point. Best fit only when the question asks.

  3. Axes

    What you changed goes on x, what you measured goes on y. Copy the table headings as the labels.

  4. Plots

    Every point within half a small square, drawn as a small × or ⊙.

  5. Units

    Units after a slash or in brackets: "Time / min" or "Temperature (°C)".

  6. Key

    Only for two or more data sets: a key that says which line is which.

Practice graphs

1. Oxygen from pondweed

The total volume of oxygen released by pondweed in bright light was recorded every 5 minutes.

Plot a graph of volume of oxygen released against time. Join the points with straight lines using a ruler. [5 marks]

Results Illustrative data
Time / minVolume of oxygen released / cm³
00
511
1023
1547
2083
25116
1 · Axes, labels and scales

Put Time / min (the independent variable) on the x-axis and Volume of oxygen released / cm³ on the y-axis. This grid is 8 big squares across and 10 up; each big square has 5 × 5 small squares.

x-axis
y-axis
x-axis labely-axis label

Set your scales, then tap the grid to plot each point.

Keyboard and screen-reader entry

Values are placed using the scale you set, so a wrong scale still gives a wrong graph – just like on paper.

Stuck on the scale?

y: 116 ÷ 10 = 11.6 → round UP to 20 per big square (0 to 200). Do not write 11, 47, 116 on the axis.