Cumulative Frequency — Interactive Lesson (Ages 14–16)

Do your students plot the wrong values on a cumulative frequency graph? This 19-slide interactive lesson teaches cumulative frequency from the table to the curve.

Mastering Cumulative Frequency at GCSE

Students learn to calculate and complete a cumulative frequency table by adding each frequency to the running total, checking that the final value equals the total frequency. They then construct the graph by plotting the upper boundary of each class interval against its cumulative frequency, joining the points with a smooth curve, and use the graph to find an estimate of the median. Worked examples use data such as students’ heights and hours worked.

What’s Included

• 19-slide interactive lesson on cumulative frequency
• Learning objectives: complete the table, construct and interpret the graph, estimate the median
• Worked examples with class intervals such as 100 < h ≤ 110
• Step-by-step running totals with a built-in check
• Self-marking questions with instant feedback

Key Benefits for Students

• Makes running totals and upper boundaries clear
• Shows why a smooth curve gives a more accurate graph
• Links the graph to estimating the median
• Instant feedback on answer questions

Why Teachers Love It

• No prep — ready for whole-class teaching on an interactive whiteboard
• Worked examples model each stage of the method
• Self-marking questions support independent practice
• Suits teaching, revision and homework
• A useful lesson to return to before statistics exams

Love this? You’ll love…

• Calculating Averages from a List — Interactive Lesson (Ages 14–16)
• Calculating Averages from Frequency Tables — Interactive Lesson (Ages 14–16)
• Moving Average — Interactive Lesson (Ages 14–16)

A dependable addition to a GCSE statistics topic, giving students a clear method for a graph type that often costs marks. Confidence here also supports work on box plots and comparing distributions.

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FAQ

What year group is this for? Years 10–11 (ages 14–16), GCSE.

Does it cover estimating the median? Yes — students use the graph to estimate the median.

Is it self-marking? Yes, with instant feedback on the questions.