What is the correct formula for using the sample standard deviation 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) $\frac { \sqrt { \sum ( X - M ) ^ { 2 } } } { N - 1 }$

Question

Quizplus · Accepted Answer

The correct formula for using the sample standard deviation to estimate the population standard deviation is $\sqrt { \frac { \sum ( X - M ) ^ { 2 } } { ( N - 1 ) } }$, where $\sum ( X - M ) ^ { 2 }$ is the sum of the squared differences between each observation and the sample mean, and $N - 1$ is the sample size minus one, used for Bessel's correction.

What Is the Correct Formula for Using the Sample Standard ∑(X−M)(N−1)\sqrt { \frac { \sum ( X - M ) } { ( N - 1 ) } }(N−1)∑(X−M)​​

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