Bar graphs depicting averages are perceptually misinterpreted: The within-the-bar bias
Open accessAbstract
Perhaps the most common method of depicting data, in both scientific communication and popular media, is the bar graph. Bar graphs often depict measures of central tendency, but they do so asymmetrically: A mean, for example, is depicted not by a point, but by the edge of a bar that originates from a single axis. Here we show that this graphical asymmetry gives rise to a corresponding cognitive asymmetry. When viewers are shown a bar depicting a mean value and are then asked to judge the likelihood of a particular data point being part of its underlying distribution, viewers judge points that fall within the bar as being more likely than points equidistant from the mean, but outside the bar--as if the bar somehow "contained" the relevant data. This "within-the-bar bias" occurred (a) for graphs with and without error bars, (b) for bars that originated from both lower and upper axes, (c) for test points with equally extreme numeric labels, (d) both from memory (when the bar was no longer visible) and in online perception (while the bar was visible during the judgment), (e) both within and between subjects, and (f) in populations including college students, adults from the broader community, and online samples. We posit that this bias may arise due to principles of object perception, and we show how it has downstream implications for decision making.
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In bar graphs depicting average values, people judge data values that fall within the bar as being more likely to be part of the data set than points outside the bar, despite being equidistant from the mean.
“In bar graphs depicting average values, people judge data values that fall within the bar as being more likely to be part of the data set than points outside the bar, despite being equidistant from the mean [30, 6].”
From Illusion of Causality in Visualized Data (2020) · cites this paper as [30]
Bar encodings are visually vertically asymmetrical, with the area below the mean filled and the area above unfilled.
“Bar encodings, in contrast, are visually vertically asymmetrical, with the area below the mean filled and the area above unfilled.”
From Illusion of Causality in Visualized Data (2020) · cites this paper as [30]
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- Authors
- Newman, G. E., & Scholl, B. J.
- Affiliations
- Yale University (US)
- Corresponding author
- Newman, George E.
- Venue
- Psychonomic Bulletin & Review
- Published
- 2012-05-31
- Volume
- 19
- Issue
- 4
- Pages
- 601-607
- ISSN
- 1069-9384 (ISSN-L)
- 1531-5320
- OpenAlex
- W2092922484
- Cited by
- 101
- References
- 19
- Citations by year
- 2026: 5 · 2025: 6 · 2024: 9 · 2023: 14 · 2022: 13 · 2021: 15 · 2020: 2 · 2019: 8 · 2018: 9 · 2017: 5 · 2016: 3 · 2015: 6 · 2014: 5 · 2013: 1
- FWCI
- 3.94
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Psychonomic Bulletin & Review (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Data Visualization and Analytics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
- Life Sciences › Neuroscience › Cognitive Neuroscience › Aesthetic Perception and Analysis
- Keywords
- bar charts, measures of central tendency, error bars, object perception, probability judgment, data visualization, visual perception, decision-making
- MeSH terms
- Adult, Attention, Decision Making, Humans, Pattern Recognition, Visual, Statistics as Topic
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