If the sample size increases, what will happen to the standard deviation?

Dorsheele0p

Dorsheele0p

Answered question

2022-08-10

If the sample size increases, what will happen to the standard deviation?

Answer & Explanation

Hamza Conrad

Hamza Conrad

Beginner2022-08-11Added 20 answers

This is the practical reason for taking as large of a sample as is practical. For any given amount of 'variation' between measured and ‘true’ values (we can’t make that better in this scenario) increasing the sample size "N" at least gives us a better (smaller) standard deviation.
s = 1 N 1 i = 1 N ( x i x ¯ ) 2

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