5.1.3

Relative & Expected Frequency

Test yourself

Relative and Expected Frequency

The relative frequency of each outcome can be calculated after a probability experiment.

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Formula

  • Relative frequency = frequency ÷ number of trials.
    • If a dice was rolled 150 times and the result was a 4 in 25 of those rolls then the relative frequency of 4 was 25 ÷ 150 = 16.
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Expected frequency

  • The relative frequency of an outcome in one experiment can be used to calculate the expected outcomes of future experiments:
    • expected frequency = relative frequency × number of trials
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Fair or biased?

  • If the relative frequency of a result is very different from what you’d expect from a fair dice or coin then you can conclude that the dice or coin is probably biased.
  • Otherwise you can conclude that it is probably fair.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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