Photo AI
Write down two reasons for using statistical models - Edexcel - A-Level Maths Statistics - Question 5 - 2006 - Paper 1
Question 5
Write down two reasons for using statistical models. Give an example of a random variable that could be modelled by (i) a normal distribution, (ii) a discrete unif... show full transcript
Worked Solution & Example Answer:Write down two reasons for using statistical models - Edexcel - A-Level Maths Statistics - Question 5 - 2006 - Paper 1
Step 1
Write down two reasons for using statistical models.
Answer
-
Statistical models help to simplify a real-world problem, making complex data more manageable and interpretable.
-
They can improve understanding and provide insights into data by allowing analysis that is quicker and often more cost-effective than real-world experimentation.
Step 2
Give an example of a random variable that could be modelled by a normal distribution.
Answer
An example of a random variable that could be modelled by a normal distribution is height. Heights of individuals in a given population tend to follow a bell-shaped curve, which is characteristic of normal distributions.
Step 3
Give an example of a random variable that could be modelled by a discrete uniform distribution.
Answer
An example of a random variable that could be modelled by a discrete uniform distribution is the score on a face after tossing a fair die. Each of the six outcomes (1 through 6) has the same probability of occurring.