How to teach statistical investigations
Grade 5 to Grade 6
A statistical investigation is the whole cycle of answering a question with data: pose a clear question, plan and collect the data, display and summarise it, then interpret the results and report back honestly about the limits. It pulls together averages, graphs and data critique into one process.
How to teach it
- Start with a specific, answerable question (how do students in our class travel to school?), not a vague one.
- Plan the collection: who to ask, how many, and how to record it fairly so the sample is not biased.
- Choose a display that suits the data type: a bar or picture graph for categories, and summarise with a suitable average.
- Interpret the graph and the average to answer the original question, rather than just describing the numbers.
- Report honestly: state how many were surveyed and what the results can and cannot claim, since a small class sample does not speak for everyone.
Common mistakes
- Asking a vague or leading question that the data cannot answer.
- Collecting a small or biased sample and then over-claiming from it.
- Choosing a display or an average that does not suit the data.
- Describing the graph without answering the question that was posed.
Frequently asked questions
What is a statistical investigation?
A statistical investigation is the whole cycle of answering a question with data: pose a clear question, plan and collect the data, display and summarise it, then interpret the results and report honestly about the limits. It pulls together averages, graphs and data critique into one process.
What age or grade is statistical investigation taught?
Statistical investigations are usually taught in Grade 5 and Grade 6, once students can make graphs and find averages. It combines those skills into a full inquiry cycle, from posing a question to reporting results and their limits.
What are the steps of a statistical investigation?
Pose a specific, answerable question; plan and collect the data fairly; choose a display that suits the data and summarise it with a suitable average; interpret the results to answer the original question; then report honestly on how many were surveyed and what the data can and cannot claim.
How do you choose the right display for data?
Match the display to the data type. Use a bar graph or picture graph for categories such as how students travel to school, and a line graph for continuous data over time. Choosing a display that does not suit the data is a common mistake.
Why does a small sample limit what data can claim?
Because a small or biased sample cannot fairly represent a larger group. A survey of one class does not speak for a whole school or country. Students learn to state how many were surveyed and to avoid over-claiming, reporting honestly on the limits of their data.
Why report the limits of an investigation?
Because honest reporting is part of good statistics. Stating how many were surveyed and what the results can and cannot claim stops a small class sample being presented as speaking for everyone. It teaches students to be careful and truthful with data rather than overstating findings.
Why does my child struggle with statistical investigations?
Common problems are asking a vague or leading question the data cannot answer, collecting a small or biased sample and over-claiming from it, choosing an unsuitable display or average, and describing the graph without answering the question posed. Keeping the original question in focus throughout helps.
Practise with free worksheets
Printable worksheets with answer keys that are never wrong.