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This topic finds the mean, median and mode from an ungrouped frequency table, using the frequencies to weight the values. It's examined right across GCSE and iGCSE Maths. Learn it free on eClassroom through guided worked examples and instantly-marked exam-style questions.
How you do it
Multiply each value by its frequency and add those products, then divide by the total frequency. The mode is the value with the highest frequency. For the median, use a running total to find where the middle item falls.
Before you start
Everything here rests on averages from a list. Foundation and Higher tier students all cover it. Keep it sharp for grouped frequency and estimated means.
What you learn
When a value is repeated many times, we record it in a frequency table instead of a long list. This lesson finds the mean, median and mode straight from that table. A frequency table records each value x and how often it occurs, its frequency f. The course works through reading a frequency table, mean from a frequency table and median from a frequency table. Every section has instant-feedback practice questions matched to Edexcel iGCSE 4MA1 and the other major GCSE boards, and the course finishes with full exam-style questions you mark yourself.
Related Topics
Averages — Frequency Tables is part of the Data and Statistics strand of our free GCSE maths courses, studied in Foundation tier. The course is built from 3 concept sections, 2 worked examples and 3 check points before the exam-style set. It sits alongside Averages — Grouped Frequency, Averages — Raw Data, Charts & Diagrams and Comparing Distributions in the same strand. The Data and Statistics revision engine gives you as many extra questions as you want, tracked on your skill tree.
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