Final answer:
The standard deviation of a standard normal distribution is 1, and the distribution is symbolized as Z ~ N(0, 1).
Step-by-step explanation:
The standard deviation of a standard normal distribution is 1. In a standard normal distribution, which is a special case of the normal distribution, the mean is 0 and the standard deviation is 1. This distribution is denoted as Z ~ N(0, 1), where Z represents the random variable following a standard normal distribution.
Z-scores are used within this context to determine how many standard deviations an individual data point is from the mean. For instance, a z-score of 2 indicates that a data point is two standard deviations above the mean. The property of having a standard deviation of 1 makes the z-scores in the standard normal distribution particularly useful, allowing for easy comparison between different data sets through standardization.