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Statistics 1 Revision Notes - Mr Barton Maths

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Question 2<br />

Statistical models can be used to describe real world problems. Explain the process<br />

involved in the formulation of a statistical model.<br />

Answer<br />

Observe real world problem<br />

Devise a statistical model and collect data<br />

Compare observed against expected outcomes and test the model<br />

Refine model if necessary<br />

Question 3<br />

(a) Write down two reasons for using statistical models.<br />

(b) Give an example of a random variable that could be modelled by<br />

(i) a normal distribution,<br />

(ii) a discrete uniform distribution.<br />

Answer<br />

(a) To simplify a real world problem<br />

To improve understanding / describe / analyse a real world problem<br />

Quicker and cheaper than using real thing<br />

To predict possible future outcomes<br />

Refine model / change parameters possible Any 2<br />

(b) (i) height, weight, etc. (ii) score on a face after rolling a fair die<br />

Histograms<br />

Question 1<br />

Give a reason to justify the use of a histogram to represent these data.<br />

Answer<br />

The variable (minutes delayed) is continuous.<br />

Averages<br />

Question 1<br />

Write down which of these averages, mean or median, you would recommend the<br />

company to use. Give a reason for your answer.<br />

Answer<br />

14/04/2013 <strong>Statistics</strong> 1 SDB 43

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