Northern Ireland · CCEASyllabus
Statistics syllabus, dot point by dot point
Every dot point in the Northern Ireland Statisticssyllabus, with a focused answer for each one. Click any dot point for a worked explainer, past exam questions, and links to related dot points. Written by Claude Opus 4.8, Anthropic's latest AI.
Averages and measures of spread
Module overview →- How do you find the mean, median and mode, including a weighted mean and the mean from frequency and grouped tables, and choose the best average?Calculate the mean, median and mode, find a weighted mean and the mean from a frequency or grouped frequency table, identify the modal class, and choose the most appropriate average for the data.11 min answer →
- How do you measure the spread of data using the range, quartiles, interquartile range, percentiles and standard deviation, and compare distributions with box plots?Find the range, quartiles, interquartile range and percentiles, calculate the standard deviation, identify outliers, and draw and compare box plots of two distributions.12 min answer →
- How do you use a standardised score to compare values from two different distributions, and how do you describe the skewness of data?Calculate and interpret standardised scores using the mean and standard deviation to compare values across different distributions, and describe the skewness of a distribution.10 min answer →
Collecting data
Module overview →- What kinds of data are there, and how do you collect them well using questionnaires, surveys and data-collection sheets?Classify data as qualitative or quantitative, discrete or continuous, primary or secondary, and design good questionnaires, data-collection sheets and surveys that avoid bias and leading questions.11 min answer →
- How do you choose a sample that fairly represents a population, and how does each sampling method avoid or introduce bias?Understand sampling frames and choose between random, systematic, stratified, quota, cluster and convenience sampling, including how each is carried out and the bias each can introduce.11 min answer →
Probability
Module overview →Processing and representing data
Module overview →- How do you tabulate data and choose the right chart for categorical and discrete data, including stem-and-leaf and comparative diagrams?Construct and interpret frequency tables, two-way tables, pictograms, bar charts (including composite and comparative), pie charts and stem-and-leaf diagrams, choosing the correct display for the type of data.11 min answer →
- How do you display grouped continuous data with frequency polygons, histograms using frequency density, and cumulative frequency curves?Construct and interpret frequency polygons, histograms with equal and unequal class widths using frequency density, and cumulative frequency curves, and read the median and quartiles from a cumulative frequency curve.12 min answer →
Quality assurance
Module overview →Scatter diagrams and correlation
Module overview →The normal distribution
Module overview →The statistical enquiry cycle
Module overview →Time series and index numbers
Module overview →- How do index numbers measure change over time, and how are the RPI, CPI and a weighted index used and interpreted?Calculate and interpret simple index numbers, understand the Retail Prices Index and Consumer Prices Index, find a weighted index number, and use a chain base to compare year-on-year change.11 min answer →
- How do you analyse data over time using a time series, moving averages and a trend line, allowing for seasonal variation?Plot and interpret a time series, calculate moving averages to smooth the data, plot and use a trend line, identify seasonal variation, and use the trend to make predictions.11 min answer →