The mean of a set of data is 108.06 and its standard deviation is 115.45 . Find the z score for a value of 489.67 .
A) 2.98
B) 3.64
C) 3.31
D) 3.61

Question

The mean of a set of data is  108.06  and its standard deviation is  115.45 . Find the  z  score for a value of  489.67 .
A)  2.98 
B)  3.64 
C)  3.31 
D)  3.61

Quizplus · Accepted Answer

The z score is calculated using the formula $z = \frac{x - \mu}{\sigma}$, where $x$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation. Substituting the given values: $z = \frac{489.67 - 108.06}{115.45} = 3.31$.

The Mean of a Set of Data Is 108