1. 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. 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. 3 4 Parramatta Eels have won 2 of their last 4 games. Source: http://en.wikipedia.org/wiki/Parramatta_Eels#2010 We want to estimate the chance of them winning their next game. 2424 1212 = 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. 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. 5 Example B 400 motorcycles are manufactured each day. Twenty eight have faulty tyres. What is the relative frequency of faulty tyres. Relative Frequency = 28 400 = 0.07 Write your answer as a percentage. = 7%

6. 6 Example C A tyre manufacturer measures the distance before they wear out. KilometresTyres 0  20 0004 20 001  50 0009 50 001  100 00015 100 001  150 00022 150 001  30 Relative Frequency = What is the relative frequency for 50 001  100 000 ? Total Tyres = 80 15 80 = 0.1875