Cumulative Frequency

Maths: Edexcel IGCSE Higher, topic 6.2.3

Cumulative Frequency

Example data

Example data

  • To find the cumulative frequency, add together all the frequencies below that value.
Cumulative frequency graph

Cumulative frequency graph

Plotting the graph

Plotting the graph

  • Plot cumulative frequency against the upper limit of each class interval.
  • Add a point with frequency 0 at the lowest class bound.
  • Join the points with a smooth curve or straight line segments.

Cumulative Frequency - Estimations

Estimate the value of the 60th person

Estimate the value of the 60th person

Estimate the value of the 60th person

Estimate the value of the 60th person

  • Draw a line from 60 on the y-axis until it hits the curve.
  • Then draw a vertical line down to the x-axis.
  • The number on the x-axis is an estimate for the 60th value. Here it is roughly 32kg.

Test yourself on Cumulative Frequency

  • Consider the frequency table below. The cumulative frequency column is not completed. What is the value x?

  • Consider the frequency table below. The cumulative frequency column is not completed. What is the value x?

  • Consider the frequency table below. The cumulative frequency column is not completed. What is the value x?

  • Consider the frequency table below. The cumulative frequency column is not completed. What is the value x?

  • Consider the frequency table below. The cumulative frequency column is not completed. What is the value x?

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