Suppose X∼N(6.5,1.5), and x=3.5. Find and interpret the z-score of the standardized normal random variable. The z $z$ -score when x is equal to 3 point 5$x=3.5$ is negative 2. The mean is 2 . This z $z$ -score tells you that x is equal to 3 point 5$x=3.5$ is 2 point 0 0 standard deviations to the left of the mean.