What Is the Correct Formula for Calculating the Standard Deviation $\sqrt { \frac { \sum ( X - M ) } { ( N - 1 ) } }$

question 42

Multiple Choice

What is the correct formula for calculating the standard deviation of a sample when one is NOT trying to estimate the population standard deviation?

• A) \(\sqrt { \frac { \sum ( X - M ) } { ( N - 1 ) } }\)
• B) \(\sqrt { \frac { \sum ( X - M ) ^ { 2 } } { ( N - 1 ) } }\)
• C) \(\sqrt { \frac { \sum ( X - M ) ^ { 2 } } { N } }\)
• D) \(\frac { \sqrt { \sum ( X - M ) ^ { 2 } } } { N - 1 }\)

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Definitions:

Functional Groups

Functional groups are specific groups of atoms within molecules that are responsible for the characteristic chemical reactions of those molecules.

Organic Molecules

Chemical compounds containing carbon atoms bonded together and with other elements, typically forming the basis of life on Earth.

Base

A substance that can accept hydrogen ions (protons) or more generally, donate a pair of valence electrons in reactions.

Brønsted-Lowry

The Brønsted-Lowry theory defines acids as proton (H+) donors and bases as proton acceptors, emphasizing the role of proton transfer in acid-base reactions.