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

Master CRINQ's Descriptive, Inferential, and Clinical Statistics with our practice test. Tackle multiple choice questions, each with detailed explanations, to ensure you're fully prepared. Ready for your exam!

Multiple Choice

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

Explanation:
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.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy