What is a z-score? (Normal Distribution)

z-scores are helpful because they allow us to make inferences about any normal distribution by converting points or values of interest to a value, z, in the standard normal distribution (mean is zero and standard deviation is one).

We can use a z-table to look up z-scores and determine the percent of the distribution above or below the z-score and then relate it back to the distribution we start with.

Also, z-scores are a measure of how many standard distributions a number is away from the mean.

Images used in this video were created using GeoGebra.

0:00 The value of z-scores
0:47 Area under distribution example
2:39 Standard deviation measurement example
3:35 Summary of two topics in video

#zscore
#normaldistribution
#statistics
#joecmath

[JoeCMath]

0:47 Example using z-score to find area under distribution
2:39 Example showcasing that z-scores are a measure of standard deviations away from the mean

[haknyeonsbff]

I have a statistics test tomorrow and I was really struggling to understand z-scores. This video really cleared it up for me and you explained it very well!