A-level maths / Applied Year 1
Data collection
A useful conclusion starts with a clear question and a sound way to collect evidence.
Work through twelve lessons on populations, sampling methods, data types and weather records. Finish with an original spreadsheet investigation and mixed practice.
- Populations, samples and censusesDefine the population you want to study, distinguish a sample from a census, and see why sample estimates vary. Original examples, a manual model and worked practice.
- Sampling frames and biasCheck who a sampling frame includes, spot coverage and response problems, and explain why a larger sample does not automatically remove bias. Original scenarios and worked practice.
- Simple random samplingSelect a fixed number of distinct units fairly, handle repeated random labels, and understand what makes a sample simple random. Original examples and worked practice.
- Systematic samplingCalculate a sampling interval, choose a random start and select a fixed-size sample. Explore how repeating patterns in a list affect systematic samples.
- Stratified samplingDivide a population into non-overlapping strata, allocate a proportional sample, handle rounding and select randomly within each group. Original examples and worked practice.
- Quota and opportunity samplingDistinguish opportunity, quota and stratified random sampling. Explain practical advantages, identify selection bias and improve survey plans with original worked examples.
- Types of dataDistinguish qualitative and quantitative variables, discrete and continuous measurements, and the underlying quantity from its rounded record. Original examples and worked practice.
- Class boundaries and midpointsRead grouped classes correctly, account for recording precision, and calculate widths and midpoints. Original examples, a manual interval model and worked practice.
- Large data set: weather contextUnderstand the places, dates and limits of the Pearson Edexcel weather large data set. Choose a meaningful population and interpret seasonal comparisons.
- Trace, missing data and weather samplesDistinguish trace rainfall, measured zero and missing data. Compare cleaning decisions with an original synthetic table and explain their effects on means and sample size.
- Plan a data collection investigationPlan a sampling investigation, calculate estimates from an original small dataset and judge the design. Includes a learner-operated comparison and downloadable spreadsheet.
- Data collection: mixed practiceOriginal cumulative questions on sampling designs, bias, data types, grouped measurements and weather records, with separate hints and worked solutions.