What happens to the standard deviation of the average of a sample as the sample size increases? Group of answer choices It gets smaller It gets bigger It stays the same It depends on the value of the average

Gets smaller

Step-by-step explanation:

- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:

                             s = Σ (  x - u ) / sqrt ( n )

Where, n : sample size

            u : Mean value

- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).

- We can see that as sample size (n) increases the standard deviation (s) decreases.

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