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EnglandMaths

Statistics

7 dot points across 7 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you summarise, display and interpret data, and how do you identify relationships and outliers?

Measures of location and spread, histograms, box plots and cumulative frequency, identifying outliers, scatter diagrams, correlation and the use of regression lines.
A focused answer to the AQA A-Level Mathematics data presentation content, covering measures of location and spread, histograms, box plots, cumulative frequency, outliers, scatter diagrams, correlation and regression.
11 min answer →

How do you use sample data to test a claim about a population, and decide whether the evidence is strong enough?

Setting up null and alternative hypotheses, the significance level, one-tailed and two-tailed tests, hypothesis tests for a binomial proportion and for a normal mean, critical regions, and interpreting the conclusion in context.
A focused answer to the AQA A-Level Mathematics hypothesis testing content, covering null and alternative hypotheses, significance levels, one and two-tailed tests for a binomial proportion and a normal mean, critical regions, and stating conclusions in context.
11 min answer →

How do you calculate the likelihood of events, including when events depend on or exclude one another?

Probability of events, mutually exclusive and independent events, the addition and multiplication rules, Venn diagrams and tree diagrams, and conditional probability.
A focused answer to the AQA A-Level Mathematics probability content, covering single and combined events, mutually exclusive and independent events, the addition and multiplication rules, Venn and tree diagrams, and conditional probability.
10 min answer →

How do you model a random variable mathematically, and how do you use that model to find probabilities?

Discrete random variables and their probability distributions, the requirement that probabilities sum to one, the use of statistical distributions to model real situations, and an introduction to the binomial and normal models.
A focused answer to the AQA A-Level Mathematics statistical distributions content, covering discrete random variables, probability distributions, the condition that probabilities sum to one, and choosing a suitable model such as the binomial or normal distribution.
9 min answer →

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

Populations and samples, the advantages and limitations of sampling, simple random sampling, systematic, stratified, quota and opportunity sampling, and the importance of the large data set.
A focused answer to the AQA A-Level Mathematics sampling content, covering populations and samples, the trade-offs of sampling, simple random, systematic, stratified, quota and opportunity sampling, and the role of the large data set.
9 min answer →

How do you model the number of successes in a fixed number of independent trials, and find probabilities from that model?

The conditions for a binomial model, the binomial probability formula, calculating individual and cumulative probabilities, the mean of a binomial distribution, and using the model in context.
A focused answer to the AQA A-Level Mathematics binomial distribution content, covering the conditions for a binomial model, the probability formula, individual and cumulative probabilities, the mean, and applying the model in context.
10 min answer →

How do you model a continuous quantity that clusters symmetrically about a mean, and find probabilities from it?

The normal distribution as a model for continuous data, its mean and standard deviation, calculating probabilities, the standard normal distribution and standardising, finding values from probabilities, and using the normal approximation to the binomial.
A focused answer to the AQA A-Level Mathematics normal distribution content, covering the bell curve, mean and standard deviation, calculating probabilities, standardising with z values, inverse problems, and the normal approximation to the binomial.
11 min answer →