Osmosis video - Normal distribution and z-scores

The normal distribution is a continuous probability distribution that is symmetric about the mean, with a bell-shaped curve. 68%, 95%, and 99% of the data lies within one, two, and three standard deviations from the mean, respectively. The normal distribution represents the occurrence of many natural phenomena.

On the other hand, a Z-score indicates the number of standard deviations between a certain value and the mean. A Z-score of 0 indicates that the data point is exactly at the mean. A Z-score of 1 indicates that the data point is one standard deviation above the mean, and a Z-score of -1 indicates that the data point is one standard deviation below the mean. Z-scores can be used to determine how unusual a data point is within a dataset that follows a normal distribution.