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Cambridge International A Level Biology Revision Guide

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<strong>Cambridge</strong> <strong>International</strong> AS <strong>Level</strong> <strong>Biology</strong><br />

Constructing bar charts and<br />

histograms<br />

Not all experiments generate results that can be displayed<br />

as a line graph. Some results are best shown in bar charts<br />

or histograms.<br />

A bar chart is drawn when you have a discontinuous<br />

variable on the x-axis and a continuous variable on the<br />

y-axis. A discontinuous variable is one where there is no<br />

continuous relationship between the items listed on the<br />

scale. Each category is discrete. Figure P1.13 shows an<br />

example. The x-axis lists five species of tree; each type of<br />

tree is separate from the others, and there is no continuous<br />

relationship between them. The bars are therefore drawn<br />

with gaps between them.<br />

A continuous variable is one where there is a smooth,<br />

numerical relationship between the values. (Line graphs<br />

always have a continuous variable on both the x-axis<br />

and y-axis, as in Figure P1.12.) Sometimes, you will want<br />

to draw a graph where there is a continuous range of<br />

categories on the x-axis, and the frequency with which<br />

each of these categories occurs is shown on the y-axis. In<br />

this case, the bars are drawn so that they touch. This kind<br />

of graph is a histogram, or a frequency diagram. Figure<br />

P1.14 shows an example.<br />

20<br />

258<br />

Mean number of prickles<br />

18<br />

16<br />

14<br />

12<br />

10<br />

species A<br />

species B<br />

species C<br />

species D<br />

species E<br />

Figure P1.13 Bar chart showing the mean number of prickles<br />

on leaves from five different species of tree.<br />

100<br />

80<br />

Number of leaves<br />

60<br />

40<br />

20<br />

0<br />

8–9<br />

10–11<br />

12–13<br />

14–15<br />

16–17<br />

18–19<br />

20–21<br />

22–23<br />

Number of prickles<br />

Figure P1.14 Frequency diagram (histogram) showing the numbers<br />

of leaves with different numbers of prickles on a holly tree.

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