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Relative Frequency: Definition and Example

Math Glossary: Statistics – Mathbot, the Math Made Easy robot coach

Definition: Relative frequency is the fraction or percent of the total that falls in a category, found by dividing its count by the total count.

Grade 8

What is relative frequency?

It turns a raw count into a share. Frequency says how many, and relative frequency says what portion.

How do you compute it?

Divide the count by the total. In a class of 25 students, 9 walk to school. The relative frequency is 9 / 25 = 0.36, or 36 percent.

Why use it?

It lets you compare groups of different sizes. Class A has 9 walkers out of 25, and class B has 12 out of 40. Class A’s share is 36 percent and class B’s is 30 percent, so class A has the higher share even though class B has more walkers.

How does it appear in a two-way table?

Compute relative frequencies by row, column, or overall. Each set of shares adds to 100 percent.

How does it link to probability?

For a random student in class A, the chance of choosing a walker is 0.36, matching the relative frequency.

What is a common mistake?

Dividing by the wrong total, or comparing counts when the group sizes differ. Always check the denominator.

Example: If 18 of 60 games were won, the relative frequency of wins is 0.30.

Where to learn it

Related terms

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