AP PSYCHOLOGY

Detailed explanation-1: -The normal distribution is a symmetrical, bell-shaped distribution in which the mean, median and mode are all equal. It is a central component of inferential statistics. The standard normal distribution is a normal distribution represented in z scores. It always has a mean of zero and a standard deviation of one.

Detailed explanation-2: -In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.

Detailed explanation-3: -The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails. Normal distributions are defined by two parameters, the mean () and the standard deviation ().

Detailed explanation-4: -A perfectly normal distribution is the one where the values of mean, median and mode are same. The mean value is average value of the given data set, the median value represents the value where 50% observations are above it and 50% observations are below it.

Detailed explanation-5: -Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a “bell curve".