My problem arises from this situation: I have the mean and standard deviation of body-mass index (BMI) for a given population. Contemporary BMI distributions are not close to a normal distribution, i.e., there is a much 'fatter' tail to the right.
Unfortunately, this is where my statistics knowledge ends. What I would like to be able to do, are the following things:
- Find a distribution that fits my idea of a BMI distribution more appropriately
1a.)This distribution would likely need to be bounded (very few people have a BMI <14 or >50)
- From this distribution, be able to find the area under the curve for a given value
EDIT: With reference to the area under the curve, I am looking for a CDF, so I can find the proportion of the population for a given value of BMI.
From some initial research, it seems like a beta-distribution is potentially what I need. But these seem to need parameters within bounds of 0 and 1?
This was all very straightforward with a normal distribution, however the normal distribution is not nearly an accurate representation of the distribution of BMIs.