Question

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

Answer 1

Answer:

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.