GCSE Maths: Charts, Tables and Averages

Reading and drawing statistical charts, and working out averages from tables, are among the most common questions on Foundation papers and still appear on Higher papers. This material trains the charts-and-averages part of the statistics content in the GCSE subject content for England: pie charts, two-way tables, frequency polygons, time series and stem-and-leaf diagrams, together with the mean, median, mode and range calculated from frequency tables.

The quiz has thirteen questions, and every table or diagram is written out in full inside the question. You find a pie-chart angle from a frequency and a total from an angle, complete a two-way table from its totals and use one to find a probability, calculate the mean, median, mode and range from ungrouped frequency tables, estimate the mean from a grouped table using midpoints, and identify the modal class and the class containing the median. Other questions check which points a frequency polygon uses, describe the trend and seasonal pattern of quarterly sales, and read the median and range from a stem-and-leaf diagram with a key. The wrong options are the classic slips: dividing by the number of rows instead of the total frequency, using class limits instead of midpoints, giving a frequency as the mode, and confusing the number of values with the range.

The flashcards summarise how to find each average from a table, the pie-chart angle formula, midpoints and modal and median classes, what a two-way table, a frequency polygon and a stem-and-leaf key show, and the difference between a trend and seasonal variation.

The printable written work has eight problems to set out in full: calculating the angles for a pie chart, comparing two pie charts drawn for groups of different sizes, completing a two-way table and using it, all four measures from a frequency table, an estimated mean with modal and median classes from a grouped table, the points of a frequency polygon, describing and using a seasonal time series, and building a stem-and-leaf diagram from raw data.

All of this content is common to both tiers, so the material suits every Year 10 and Year 11 student. It complements the category's statistics material on sampling, histograms, cumulative frequency and box plots, which concentrates on concepts and Higher-tier diagrams.

• Calculate pie-chart angles and interpret pie charts, including groups of different sizes
• Complete and use two-way tables
• Find the mean, median, mode and range from frequency tables
• Estimate the mean from grouped data and identify the modal class and median class
• Plot and interpret frequency polygons and time series
• Construct and read stem-and-leaf diagrams

Practice material written by Zestly, based on the DfE GCSE mathematics subject content (DFE-00233-2013), Statistics S2 and S4 (charts, tables and averages).