Exploring Correlation – Do Taller People Have Bigger Feet?
Correlation is one of the first statistical ideas students meet at GCSE and A Level, and it’s much easier to understand when linked to real-world data. One of the simplest — and most popular — classroom investigations asks a surprisingly sensible question:
Do taller people have bigger feet?
It’s a fun way to explore data collection, scatter graphs, line of best fit, and the difference between correlation and causation.
The Investigation
Students work in pairs or groups to collect two sets of data:
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Height (in cm)
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Foot length (in cm or shoe size converted to cm for accuracy)
Measurements are plotted on a scatter graph, with height on the x-axis and foot size on the y-axis.
A line of best fit allows students to see whether a pattern exists — and in most cases, the answer is yes. Taller people tend to have longer feet.
What Students Discover
1. Correlation, Not Causation
A positive correlation does not mean one variable causes the other. Height doesn’t cause big feet, and big feet don’t cause height — both are linked by underlying factors such as genetics and growth.
2. Strength of Correlation
Students calculate or estimate:
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Weak correlation
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Moderate correlation
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Strong correlation
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Very strong correlation
Real biological variation means the points never fall perfectly on the line.
3. Outliers Matter
Some individuals don’t follow the general pattern. Discussing why — genetics, age differences, measurement error — helps students think critically about real data.
4. Regression Line Interpretation
The line of best fit helps predict approximate values, but with caution. Prediction inside the data range (interpolation) is reasonable; outside it (extrapolation) becomes unreliable.
Yes, taller people generally have larger feet because there is a positive correlation between height and foot size. However, this relationship is not absolute, as genetics, nutrition, age, and sex also influence foot size, leading to individual variation. Some taller people have average-sized feet, while some shorter people have large feet.
Classroom Skills Developed
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Collecting measurable, reliable data
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Plotting accurate scatter graphs
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Drawing and interpreting lines of best fit
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Understanding correlation coefficients
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Evaluating outliers and data reliability
Why It Works in Teaching
Students enjoy this investigation because it’s personal, measurable, and immediately meaningful.
The data isn’t abstract — it comes from them.
This makes the statistical concepts far easier to grasp and shows how correlation helps scientists, medics, economists, and businesses understand patterns in the world.




