Question

How do you find the mean and standard deviation of a percentage? For example, the population...

How do you find the mean and standard deviation of a percentage? For example, the population with a history of CHD= 194. the overall population sample is 4434.
The sample of men with history of CHD=124 with a percentage of 6.38.
The sample of women with history of CHD= 70 with a percentage of 2.81.

Math   Statistics-And-Probability   
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Answer #1

a) The mean of the percentage or a proportion is equal to the sample proportion which is computed here as:

The standard deviation of a percentage is computed here as:

Therefore the required mean and standard deviation here are 0.0438 and 0.0031 respectively.

b) For men, we are given the percentage as 6.38%,

Therefore the mean here is computed as:

The standard deviation here is computed as:

c) Similarly for women, the mean and standard deviation here are computed as:

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