1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Relative Frequency Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

2 1.It is used to express the probability of an event. 2.Usually it is expressed as a decimal and sometimes as a percentage. 3.Relative Frequency is used to solve problems. Relative Frequency = Successful trials Number of trials

3 4 Parramatta Eels have won 2 of their last 4 games. Source: We want to estimate the chance of them winning their next game = This is NOT the probability of them winning It is an estimate of the probability. Relative Frequency = Successful trials Number of trials 2 = 0.5 = 50%

4 Example A The stock market has gone up in five of the last eight years. Find the relative frequency for it rising this year. Relative Frequency = 5858 = 0.625

5 Example B 400 motorcycles are manufactured each day. Twenty eight have faulty tyres. What is the relative frequency of faulty tyres. Relative Frequency = = 0.07 Write your answer as a percentage. = 7%

6 Example C A tyre manufacturer measures the distance before they wear out. KilometresTyres 0      30 Relative Frequency = What is the relative frequency for  ? Total Tyres = =