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5. (a) Write down two reasons for using statistical models - Edexcel - A-Level Maths Statistics - Question 5 - 2006 - Paper 1

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5. (a) Write down two reasons for using statistical models. (b) Give an example of a random variable that could be modelled by i) a normal distribution, ii) a dis... show full transcript

Worked Solution & Example Answer:5. (a) 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.

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Answer

  1. Statistical models help to simplify real-world problems, making complex situations easier to understand and analyze.

  2. They can improve our understanding of data by allowing us to describe and analyze various aspects of real-world phenomena effectively.

Step 2

Give an example of a random variable that could be modelled by a normal distribution.

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Answer

An example of a random variable that could be modeled by a normal distribution is height. Heights in a population tend to follow a bell-shaped curve, with most individuals clustered around the average height.

Step 3

Give an example of a random variable that could be modelled by a discrete uniform distribution.

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Answer

An example of a random variable that could be modeled by a discrete uniform distribution is the score on a face after tossing a fair die. Each face (1 through 6) has an equal probability of landing face up.

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