31 December 2020

Graphical Representation: Graphics We Live by (Part V: Pie Charts in MS Excel)

Graphical Representation

From business dashboards to newspapers and other forms of content that capture the attention of average readers, pie charts seem to be one of the most used forms of graphical representation. Unfortunately, their characteristics make them inappropriate for displaying certain types of data, and of being misused. Therefore, there are many voices who advice against using them for any form of display.

It’s hard to agree with radical statements like ‘avoid (using) pie charts’ or ’pie charts are bad’. Each form of graphical representation (aka graphical tool, graphic) has advantages and disadvantages, which makes it appropriate or inappropriate for displaying data having certain characteristics. In addition, each tool can be easily misused, especially when basic representational practices are ignored. Avoiding one representational tool doesn’t mean that the use of another tool will be correct. Therefore, it’s important to make people aware of these aspects and let them decide which tools they should use. 

From a graphical tool is expected to represent and describe a dataset in a small area without distorting the reality, while encouraging the reader to compare the different pieces of information, when possible at different levels of details [1] or how they change over time. As form of communication, they encode information and meaning; the reader needs to be able to read, understand and think critically about graphics and data – what is known as graphical/data literacy.

A pie chart consists of a circle split into wedge-shaped slices (aka edges, segments), each slice representing a group or category (aka component). It resembles with the spokes of a wheel, however with a few exceptions they are seldom equidistant. The size of each slice is proportional to the percentage of the component when compared to the whole. Therefore, pie charts are ideal when displaying percentages or values that can be converted into percentages. Thus, the percentages must sum up to 100% (at least that’s readers’ expectation).

Within or besides the slices are displayed components’ name and sometimes the percentages or other numeric or textual information associated with them (Fig. 1-4).  The percentages become important when the slices seem to be of equal sizes. As long the slices have the same radius, comparison of the different components resumes in comparing arcs of circles or the chords defined by them, thing not always straightforward. 3-dimensional displays can upon case make the comparison more difficult.

Pie Chart Examples

The comparison increases in difficulty with the number of slices increases beyond a certain number. Therefore, it’s not recommended displaying more than 5-10 components within the same chart. If the components exceed this limit, the exceeding components can be summed up within an “other” component. 

Within a graphic one needs a reference point that can be used as starting point for exploration. Typically for categorical data this reference point is the biggest or the smallest value, the other values being sorted in ascending, respectively descending order, fact that facilitates comparing the values. For pie charts, this would mean sorting the slices based on their sizes, except the slice for “others” which is typically considered last.

The slices can be filled optionally with meaningful colors or (hashing) patterns. When the same color pallet is used, the size can be reflected in colors’ hue, however this can generate confusion when not applied adequately. It’s recommended to provide further (textual) information when the graphical elements can lead to misinterpretations. 

Pie charts can be used occasionally for comparing the changes of the same components between different points in time, geographies (Fig. 5-6) or other types of segmentation. Having the charts displayed besides each other and marking each component with a characteristic color or pattern facilitate the comparison. 

Pie Charts - Geographies

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