The formula for the sample variance is
A) $s _ { Y } ^ { 2 } = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } \left( Y _ { i } - \bar { Y } \right)$
B) $s _ { Y } ^ { 2 } = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } \left( Y _ { i } - \bar { Y } \right) ^ { 2 }$
C) $s _ { Y } ^ { 2 } = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } \left( Y _ { i } - \mu _ { Y } \right) ^ { 2 }$
D) $s _ { Y } ^ { 2 } = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n - 1 } \left( Y _ { i } - \bar { Y } \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

The sample variance formula is calculated using the squared differences from the sample mean, $\bar{Y}$, divided by $n-1$, which is correctly represented in option B.

The Formula for the Sample Variance Is A) sY2=1n−1∑i=1n(Yi−Yˉ)s _ { Y } ^ { 2 } = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } \left( Y _ { i } - \bar { Y } \right)sY2​=n−11​∑i=1n​(Yi​−Yˉ)

The Formula for the Sample Variance Is
A) $s _ { Y } ^ { 2 } = \frac { 1 } { n - 1 } \sum _ { i = 1 } ^ { n } \left( Y _ { i } - \bar { Y } \right)$