GCSE Statistics₈₃₈₂

Compare the probability of different possible outcomes using the 0‒1 or 0‒100% scale.

Use probability values to calculate expected frequency of a specified characteristic within a sample or population.

Use collected data and calculated probabilities to determine and interpret relative risks and absolute risks, and express in terms of expected frequencies in groups.

Compare experimental data with theoretical predictions to identify possible bias within the experimental design.

Recognise that experimental probability will tend towards theoretical probability as the number of trials increases when all variables are random.

Use two-way tables, sample space diagrams, tree diagrams and Venn diagrams to represent all the different outcomes possible for at most three events.

Compare different data sets using appropriate calculated or given measure of central tendency: mode, modal group, median and mean.

Compare different data sets using appropriate calculated or given measure of spread: range.

• interquartile range
• percentiles.

Compare different data sets using appropriate calculated or given measure of spread: standard deviation.

Use calculated or given median and interquartile range to compare data samples and to compare sample data with population data.

Use calculated or given interpercentile range or interdecile range or mean and standard deviation to compare data samples and to compare sample data with population data..

Interpret data presented in a variety of tabular forms.

Know and apply the formal notation for independent events.

Know and apply the formal notation for conditional probability.

Interpret a distribution of data in terms of skewness identified from inspection.

Interpret a distribution of data in terms of skewness identified from calculation.

Comment on outliers with reference to the original data.

Interpret seasonal and cyclic trends in context.

Use such trends to make predictions.

Interpret data related to rates of change over time (including, but not limited to, births, deaths, house prices and unemployment) when given in graphical form.

Calculate and interpret rates of change over time from tables using context specific formula.

Calculate and interpret rates of change over time from tables using context specific formula.

Use different types of index numbers in context, including but not limited to retail price index, consumer price index and gross domestic product.

Use weighted index numbers in context.

• positive
• negative
• zero
• causation
• association
• interpolation
• extrapolation.

Make comparisons of correlation by inspection: strong or weak.

Know that correlation does not necessarily imply causation.

Know that there are multiple factors that may interact.

Interpret given Spearman’s rank correlation coefficient in the context of the problem.

Interpret calculated Spearman’s rank correlation coefficient in the context of the problem.

Interpret given Pearson’s product moment correlation coefficient in the context of the problem.

Understand the distinction between Spearman’s rank correlation and Pearson’s product moment correlation coefficients.

Comment on the differences between experimental and theoretical values in terms of possible bias.

Know and interpret the characteristics of a binomial distribution.

Know and interpret the characteristics of a Normal distribution.

Know that, for a Normal distribution, values more than three standard deviations from the mean are very unusual; know that approximately 95% of the data lie within two standard deviations of the mean and that 68% (just over two thirds) lie within one standard deviation of the mean.

Use action and warning lines in quality assurance sampling applications.

Use calculated or given means and standard deviation to standardise and interpret data collected in two comparable samples.

Use calculated or given summary statistical data to make estimates of population characteristics.

Use samples to estimate population mean.

Use sample data to predict population proportions.

Apply Petersen capture/recapture formula to calculate an estimate of the size of a population.

Know that sample size has an impact on reliability and replication.

Know that a set of sample means is more closely distributed than individual values from the same population.