In a standard normal distribution, which value represents the mean?

In a standard normal distribution, the mean, median, and mode are all equal and positioned at the center of the distribution. The standard normal distribution is a specific case of the normal distribution where the mean is set to 0 and the standard deviation is set to 1. This means that the value representing the mean in this context is indeed 0.

The significance of the mean being 0 in a standard normal distribution is that it allows for the standardization of data, making it easier to assess probabilities and make comparisons across different normal distributions. The shape of the distribution is symmetrical around this mean, illustrating that half of the values fall to the left of 0 and half fall to the right.

In contrast, values such as 1, -1, and 0.5 do not represent the mean in this context. The value of 1 typically represents one standard deviation above the mean, -1 represents one standard deviation below the mean, and 0.5 does not correspond to any special significance in the standard normal distribution.