Answer :
The question is about analyzing values given a mean of 38 milligrams per deciliter and a standard deviation of 11 milligrams per deciliter. In general, the standard deviation is a measure of how spread out numbers are from the mean. Thus, based on these values, most data are expected to fall within 38 ± 22 milligrams per deciliter.
The question is about the mean and standard deviation of a certain value given in milligrams per deciliter. The mean is 38 milligrams per deciliter and standard deviation (sigma) is 11 milligrams per deciliter. The standard deviation is a measure of how spread out numbers are from the mean. For example, if a data set has a standard deviation of 0, then all the numbers in the set are equal. If the standard deviation is high, that means the numbers are more spread out from the mean.
In this case, the standard deviation being 11 means that most values are expected to fall within 38 ± 22 (i.e. 16 to 60) milligrams per deciliter. This is because according to the empirical rule, 68% of the data falls within one standard deviation of the mean and 95% falls within two standard deviations.
Calculations involving mean and standard deviation are common in statistics and are applied in a wide range of areas including science, finance, and quality control to predict characteristics of the population or samples.
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