Question

What is the mean of a standard normal distribution (Z-score)?

• A. 1
• B. 0
• C. -1
• D. 0.5

Hint:

For a \textbf{standard normal distribution}: Mean \( \mu = 0 \) and Standard Deviation \( \sigma = 1 \).

Answer 1

The Correct Option is B

Concept: A standard normal distribution is a special type of normal distribution that has been standardized so that its mean and standard deviation are fixed. Key characteristics of a standard normal distribution:

• Mean \( \mu = 0 \)
• Standard deviation \( \sigma = 1 \)

Z-scores indicate how many standard deviations a value is from the mean.
Step 1: Identify the mean of the standard normal distribution.} By definition, the standard normal distribution has a mean equal to \(0\). Therefore, the center of the Z-distribution is zero. Hence, the correct answer is 0.