Question

About 2% of the population has a particular genetic mutation. 500 people are randomly selected.

Answer 1

The standard deviation for the number of people with the genetic mutation in such groups is 3.1305.

Standard Deviation

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

Let X be the number of people with genetic mutation is a group of 500,

The formula of standard deviation is given as

$SD=\sqrt{n*p(1-p)} \\SD=\sqrt{500*0.02*0.98} \\SD=3.1305$

The standard deviation of the given sample is 3.1305

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