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Nov 2010 p63 q1
3160
Name the distribution and suggest suitable numerical parameters that you could use to model the weights in kilograms of female 18-year-old students.
Solution
The weights of female 18-year-old students can be modeled using a normal distribution. This is a common assumption for biological measurements, which tend to be symmetrically distributed around a mean.
For the normal distribution, we need to specify the mean and the variance. According to the mark scheme, a suitable mean is 60 kg, and a suitable variance is 90 kg2.
These values are within the sensible range provided: mean between 40 kg and 80 kg, and variance between 16 kg2 and 225 kg2.