What does a z-score of 0 represent in a standard normal distribution?

What does a z-score of 0 represent in a standard normal distribution?

• A. The value is exactly the mean.
• B. The value is exactly the median
• C. The value is the minimum
• D. The value is the maximum

Answer: (A)

Z-scores measure how far a value sits from the mean in units of standard deviation. In a standard normal distribution, the mean is 0 and the standard deviation is 1. A z-score of 0 means the value is exactly at the mean (X equals μ, which is 0 here). This point is the center of the distribution, not the minimum or maximum. The median also lies at this center in a normal distribution, reinforcing that z = 0 marks the central point.

Z-scores measure how far a value sits from the mean in units of standard deviation. In a standard normal distribution, the mean is 0 and the standard deviation is 1. A z-score of 0 means the value is exactly at the mean (X equals μ, which is 0 here). This point is the center of the distribution, not the minimum or maximum. The median also lies at this center in a normal distribution, reinforcing that z = 0 marks the central point.