Home › AP Statistics › Statistics › The Central Limit Theorem › Standard deviation is related to variance as its:
Standard deviation is related to variance as its:
AIts own square
BIts reciprocal
CIts logarithm
DIts square root
Answer & Solution
Correct answer: D. Its square root
1. The two spread measures are two views of the same quantity.
2. Standard deviation is the square root of variance.
3. Taking the root returns the measure to the units of the original data.
4. That is why the standard error is written with a square root in it.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 7 'The Central Limit Theorem', sections 7.1-7.3_
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