Courses / Mathematics I
Data Analysis and Probability

Data Visualisation

Mathematics I 249 words Free to read

Seeing the Data

A well-chosen graph reveals patterns that a table of numbers hides. Data visualisation matches the data type to the right display so shape, trend, relationship, and outliers become visible at a glance.

Here are the core chart types and their purposes:

Chart TypePurpose & Structure
HistogramDistribution of a single numerical variable using touching bars.
Bar chartCompares values across categories using separated bars.
Scatter plotRelationship between two numerical variables via plotted pairs.
Line chartTrends of a value over an ordered sequence, usually time.
Box plotSummarises a distribution via five numbers to compare groups.
Four chart grammars, built by reshaping the data that needs them

Chart Distinctions & Pitfalls

The crucial distinction is between a histogram and a bar chart, which look similar but display different data types.

FeatureHistogramBar Chart
Data typeContinuous numericalCategorical groups
X-axisNumber line (binned intervals)Distinct labels
Bar spacingBars touchBars have gaps
Common pitfall: Using a bar chart for continuous data or a histogram for categories. They answer different questions; mixing them up misrepresents the data.

Good visualisation requires honest design: a truthful axis starting at zero for bar heights, no distorting 3D effects, and a scale that neither exaggerates nor flattens real differences.

Practise this lesson

The explanation above is free to read. The graded practice for this lesson lives in the Tryals app.

10practice questions
2interactive scenes

Data Analysis and Probability