Given information
In a normal distribution, 
and 
This tells you that is ____ standard deviations to the ____ (right or left) of the mean.
Step-by-step explanation
If 
is the normally distributed random variable and, 
then the 
score is
The value tells, how many standard deviations the value of 
is above (to the right) or below (to the left) the mean, 
When 
is positive, is above or right of the mean, and when is negative, is below or left of the mean.
The score in normal distribution tells us how many standard deviations above or below the mean a particular value is. The negative value of the score tells us the value is below the mean and the positive value tells us the value is above the mean. The formula for score is
.
Therefore, using the definition of score, the value of 
indicates that 
is 
standard deviations to the right of the mean.
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Introductory Statistics
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