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EnglandMaths

Statistics

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you summarise, display and compare data, and identify outliers and correlation?

Measures of central tendency and spread, histograms, box plots and cumulative frequency, identifying outliers, comparing distributions, and correlation and the regression line.
A focused answer to the OCR A-Level Mathematics A data presentation content, covering the mean, median and mode, range, interquartile range, variance and standard deviation, histograms, box plots and cumulative frequency, identifying outliers, comparing distributions, and interpreting correlation and the regression line.
12 min answer →

How do you use sample evidence to decide whether a claim about a population proportion, mean or correlation is supported?

Null and alternative hypotheses, one- and two-tailed tests, significance levels and critical regions, hypothesis tests for a binomial proportion, for a Normal mean, and for a correlation coefficient.
A focused answer to the OCR A-Level Mathematics A hypothesis testing content, covering null and alternative hypotheses, one- and two-tailed tests, significance levels and critical regions, tests for a binomial proportion, tests for the mean of a Normal distribution, and tests for a product moment correlation coefficient.
12 min answer →

How do you calculate probabilities for combined events, including mutually exclusive, independent and conditional cases?

Probability of events, mutually exclusive and independent events, Venn diagrams, tree diagrams and two-way tables, the addition and multiplication laws, and conditional probability.
A focused answer to the OCR A-Level Mathematics A probability content, covering the probability of events, mutually exclusive and independent events, Venn diagrams, tree diagrams and two-way tables, the addition and multiplication laws, and conditional probability with the conditional formula.
11 min answer →

How do you model a count of successes with the binomial distribution and continuous data with the Normal distribution?

Discrete random variables and probability distributions, the binomial distribution as a model and its probabilities, the Normal distribution, standardising, the inverse Normal, and the Normal approximation to the binomial.
A focused answer to the OCR A-Level Mathematics A statistical distributions content, covering discrete random variables, the binomial distribution and its conditions and probabilities, the Normal distribution as a continuous model, standardising to the standard Normal, the inverse Normal for unknown parameters, and the Normal approximation to the binomial.
12 min answer →

How do you choose a sample that fairly represents a population, and what are the trade-offs of each sampling method?

Populations and samples, the census, sampling methods (simple random, systematic, stratified, quota and opportunity), their advantages and disadvantages, and the role of the large data set.
A focused answer to the OCR A-Level Mathematics A statistical sampling content, covering populations and samples, the census, simple random, systematic, stratified, quota and opportunity sampling, the advantages and disadvantages of each, sources of bias, and how the pre-release large data set is used.
10 min answer →