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This lesson covers upper and lower bounds, error intervals, and using bounds in calculations. Bounds is a Higher-tier topic in the Edexcel GCSE Mathematics (1MA1) specification and is commonly worth 3-5 marks on the exam.
| Term | Meaning |
|---|---|
| Lower bound | The smallest value that rounds (or truncates) to the given measurement |
| Upper bound | The smallest value that would round UP to the next measurement |
| Error interval | The range of possible values, written using inequalities |
| Degree of accuracy | How precisely a measurement has been recorded (e.g. to 1 d.p., to the nearest 10) |
| Continuous data | Data that can take any value within a range (e.g. length, mass, time) |
| Discrete data | Data that can only take specific values (e.g. number of people) |
| Truncation | Cutting off digits without rounding |
When a value has been rounded, the true value could be anything within half a unit either side.
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