Standard Normal Distribution
A Standard normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. The standard normal distribution is centered at zero, and the standard deviation indicates how much a measurement deviates from the mean. The conventional normal distribution has 68 percent of observations within one standard deviation of the mean, 95 percent within two standard deviations, and 99.9% within three standard deviations of the mean.
The distribution is used to calculate normal probabilities by use of the standard normal tables which gives the area to the left of a given z score.
The link below provides the standard normal table:
Standard normal distribution example
Notably, several data analysis follows a normal distribution. The following are the example of a normal distribution:
· Size of items produced by a machine
· Marks on a test
· Errors in Measurements
· Heights of students
· Blood Pressure
A normal distribution of standardized values known as z-scores is known as the standard normal distribution. The standard deviation is used to calculate the z-score. The value 11 is three standard deviations above (or to the right of) the mean in a normal distribution with a mean of five and a standard deviation of two.
Here's how to figure it out:
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