I dont fully understand Zscore, I need to standardise raw data to use them for further uses, so I though about using Zscore. When I calculated it, some of the results I got are greater than 1 and I wonder if I can control these result without ruining the standardisation . Is it possible to calculate zscore and ensure result range between 1 and -1? or i have to use other methods
The normal distribution has two parameters: the mean and the variance. The z-score is the name of the normal distribution with a mean of zero and a variance of 1. The possible values of this distribution cover the entire set of real numbers. About 68% are within the range (-1, 1). If when you standardized you obtained about 68% of your transformed values between -1 and 1, then that is what you should expect if your distribution is normal.
If your distribution is not normal, and if you are referencing dividing observations by their standard deviation, then the z-score you calculated is a count of how many standard deviations each number is from the mean of your distribution. If a number is more than 1 standard deviation from the mean,then it will have a z-score of greater than 1 or less than -1.