Step 1
Move the controls
Start by changing the sliders or inputs and observing what changes visually.
Interactive demos
Use these demos to build intuition before studying formal notation, derivations, assumptions and interpretation.
Learning method
The demos are designed to support conceptual learning, not replace the notes, examples and quizzes inside the course.
Demo library
These three demos introduce ideas that appear repeatedly in statistics: distributions, relationships and uncertainty.
01
Change distribution settings and connect centre, spread and curve shape visually.
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02
Explore how slope, intercept and noise affect fitted lines and visual interpretation.
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03
Use repeated sampling to understand why confidence intervals vary from sample to sample.
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Step 1
Start by changing the sliders or inputs and observing what changes visually.
Step 2
Put the visual change into words before jumping to formulas or notation.
Step 3
Use the Statistics Foundation lessons to study the formal explanation after the visual intuition.
Interactive demo
Move the mean and standard deviation. The mean shifts the centre. The standard deviation controls the spread.
Interpretation: increasing the standard deviation spreads probability over a wider range. Changing the mean moves the centre without changing the total area under the curve.
Interactive demo
Adjust slope, intercept and noise to see how a fitted line represents an approximate relationship between two quantitative variables.
Interpretation: the slope describes the expected change in the outcome for a one-unit increase in the predictor. More noise means the line explains less of the observed variation.
Interactive demo
Change the sample size and confidence level. Wider intervals are more likely to capture the true value, but they are less precise.
Interpretation: 9/10 displayed intervals contain the true mean. Increasing the sample size narrows intervals. Increasing the confidence level widens intervals.
Use with courses
Interactive tools work best with lecture explanations, detailed notes, examples and quizzes. Use them before or after studying the related lesson.
Open Statistics Foundation →Need help interpreting?
If a concept is unclear, browse the resource library or send a support enquiry with the topic, level and concept you are trying to understand.
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