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What is the formula for calculating the cumulative frequency?

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The formula for calculating cumulative frequency is straightforward. It involves adding the frequency of each category or interval to the cumulative total of the previous categories.

Here’s the step-by-step process:

  1. Start with the first frequency in the dataset as the initial cumulative frequency.
  2. For each subsequent category, add its frequency to the cumulative frequency of the previous category.

Mathematically, it can be expressed as:

  • Cumulative Frequency for the nth interval = Cumulative Frequency of (n-1)th interval + Frequency of nth interval

For example, if you have the following frequencies:

  • Interval 1: 5
  • Interval 2: 10
  • Interval 3: 7

The cumulative frequencies would be:

  • Cumulative Frequency for Interval 1 = 5
  • Cumulative Frequency for Interval 2 = 5 + 10 = 15
  • Cumulative Frequency for Interval 3 = 15 + 7 = 22

This process helps to understand the accumulation of data points across categories.

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