**z- Score**

If a normal distribution has mean µ and standard deviation , then the z-score for the number x is

z = .

Example:- If a normal distribution has mean 50 and standard deviation 4, find the following

*z*-scores. The *z*-score for x= 46

**Solution :- **Since 46 is 4 units below 50 and the standard deviation is 4, 46 is

1 standard deviation below the mean. So, its *z*-score is -1.