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Cumulative frequency

Cumulative frequency is the running total of frequencies up to a class interval.

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Main explanation

Teacher explanation

Cumulative frequency helps us see how many observations are counted up to a certain class. It is built by adding frequencies step by step. This is very useful for median, ogive, and data interpretation questions.

Example

If frequencies are 4, 3, and 5, then cumulative frequencies are 4, 7, and 12.

Simple analogy

Cumulative means keep adding, not starting again.

Common confusion

Students sometimes write each class frequency again instead of adding them cumulatively.

Exam tip

Check the running total after every row; one wrong addition can affect the full table and the median.

Answer writing and exam use

1-mark use

Write the exact meaning of cumulative frequency in one clean line.

2-mark use

Define cumulative frequency and add one example or condition.

3-mark use

Explain cumulative frequency, show the method or example, and mention the common mistake.

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