Bar Graph
Bar graphs along with pie charts are the most common types of graphical
representation for qualitative data. Like a
pie chart, a bar graph breaks categorical data down by group. Unlike a pie chart, it represents these amounts by
using bars of different lengths. While a pie chart most often reports the amount in each group as percentages,
a bar graph uses either the number of data points in each group (also called frequency) or the precentage
in each group (called relative
The following tips help to evaluate a bar chart for statistical
- Making sure that categories of grouping for a numerical variable are equivalent.
- Making sure that the scale, starting point and range of the axis of the bar graph is an appropriate representation of the information.
- Making sure how many variables are shown in the bar graph, and which should sum to one.
- Considering the units being presented by the height of the bars and what the results mean in terms of those units.
- Checking total sample size if relative frequencies are given. Or dividing each bar by the total sample size to get percentages for easier comparison, when frequencies are given.
- Checking for overlapping boundaries of numerical groupings and clarifying how borderline values are treated.
A graph can be misleading through the choice of scale on the frequency/relative frequency axis
(where the amount
in each group is reported) and/or its starting value. The scale of
a graph is the quantity used to represent each tick mark on the axis of the graph. The scale can make a big
difference in terms of the way the graph or chart looks. Stretching the scale out or starting an axis at the
highest possible number makes differences appear larger; squeezing down the scale or starting the axis at a
lower value than needed makes differences appear smaller than they
The bars in a bar graph don't connect, unlike the histogram, since the bars
represent
distinct categories without
particular