Mathematical Models

Question 1

State 5 advantages of mathematical models?

Answer 1

1. Quick and easy to produce
2. Simplify complex situations
3. Improve understanding of the real world
4. Enable predictions about the future
5. Help provide control (e.g. Scheduling)

Question 2

State two disadvantages of mathematical models?

Answer 2

1. Only give a partial description of the real situation.

2. Only work for a restricted range of values

Question 3

The 6 stages involved in creating a mathematical model?

Answer 3

1. Specify the real world problem
2. Devise a mathematical model
3. Use the model to make predictions
4. Collect data
5. Compare the predictions with the data
6. Refine the model if necessary

Question 4

Give examples of a random variable that can be modelled by a normal distribution? (Think bell curve)

Answer 4

Height
Weight
IQ

Question 5

Give an example of a random variable that can be modelled by a uniform distribution? (Think probability distribution tables)

Answer 5

Score on a dice