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WalesMaths

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 calculate and interpret the mean, median, mode and range, including from frequency and grouped frequency tables?

Calculate and interpret the mean, median, mode and range for lists and frequency tables, estimate the mean and identify the modal class from grouped data, and compare distributions using an average and a measure of spread.
A focused answer to the WJEC GCSE Mathematics statistics content on averages and spread, covering the mean, median, mode and range for lists and frequency tables, estimating the mean and modal class from grouped data, and comparing distributions.
12 min answer →

How do you draw and read a cumulative frequency curve, find the quartiles and interquartile range, and use box plots to compare distributions?

Construct and interpret a cumulative frequency curve to estimate the median, quartiles and interquartile range, and draw and compare box plots from five-number summaries (Higher tier).
A focused answer to the WJEC GCSE Mathematics statistics content on cumulative frequency and box plots, covering constructing and reading cumulative frequency curves, estimating the median and quartiles, finding the interquartile range, and drawing and comparing box plots at Higher tier.
12 min answer →

How do you choose a sample, design data collection and classify data so that conclusions are reliable?

Understand populations and samples, use random and other sampling methods and recognise bias, design data collection including questionnaires, and classify data as qualitative or quantitative and discrete or continuous.
A focused answer to the WJEC GCSE Mathematics statistics content on sampling and data, covering populations and samples, random and other sampling methods, sources of bias, designing questionnaires and classifying data as qualitative or quantitative and discrete or continuous.
11 min answer →

How do you plot a scatter graph, describe correlation and use a line of best fit to make predictions?

Plot and interpret scatter graphs, describe the type and strength of correlation, draw a line of best fit and use it to estimate values, and understand that correlation does not imply causation.
A focused answer to the WJEC GCSE Mathematics statistics content on scatter graphs, covering plotting bivariate data, describing positive, negative and no correlation, drawing and using a line of best fit for predictions, and the limits of interpolation and extrapolation.
11 min answer →

How do you construct and interpret bar charts, pictograms, pie charts, frequency diagrams and histograms?

Construct and interpret bar charts, pictograms, vertical line graphs, pie charts and frequency diagrams, and at Higher tier draw and interpret histograms using frequency density for unequal class widths.
A focused answer to the WJEC GCSE Mathematics statistics content on charts and graphs, covering bar charts, pictograms, vertical line graphs, pie charts and frequency diagrams, and histograms with frequency density for unequal class widths at Higher tier.
12 min answer →