Question

The z score for the standard normal distribution is always equal to zero. can never be negative. can be either negative or positive. is always equal to the mean?

1) Always equal to zero
2) Can never be negative
3) Can be either negative or positive
4) Always equal to the mean

Answer 1

The z-score for the standard normal distribution can be either negative or positive, indicating how many standard deviations a value is from the mean.

Step-by-step explanation:

The z-score for the standard normal distribution can be either negative or positive. A z-score represents how many standard deviations a value is from the mean of the distribution. For a standard normal distribution, which is denoted as Z~ N(0, 1), the mean (μ) is 0 and the standard deviation (σ) is 1. If a value is exactly at the mean, the z-score is zero. If a value is above the mean, the z-score is positive, indicating the number of standard deviations the value is to the right of the mean. Conversely, if a value is below the mean, the z-score is negative, indicating the number of standard deviations the value is to the left of the mean.