A variable x has a mean, µ, of 22 and a standard deviation, Ϭ, of 7. Determine the standardized version of x.
A)$z = \frac { x - 7 } { 22 }$
B) $z = \frac { x - 22 } { 7 }$
C) $x = \frac { z - 22 } { 7 }$
D) $z = - \frac { 22 } { 7 }$

Question

A variable x has a mean, µ, of 22 and a standard deviation, Ϭ, of 7. Determine the standardized version of x.   
A)$z = \frac { x - 7 } { 22 }$
B) $z = \frac { x - 22 } { 7 }$
C) $x = \frac { z - 22 } { 7 }$
D) $z = - \frac { 22 } { 7 }$

Quizplus · Accepted Answer

The standardized version of a variable, often denoted as $z$, is calculated by subtracting the mean ($\mu$) from the variable ($x$) and then dividing by the standard deviation ($\sigma$). Therefore, the correct formula is $z = \frac{x - \mu}{\sigma}$, which matches option B: $z = \frac{x - 22}{7}$.

A Variable X Has a Mean, µ, of 22 and a Standard