Please anwser the question in plain language that explains the concept, not statistical calculations.
Why is a z score a standard score?
we know that the z score is defined as the difference of the given value and the mean value divided by the standard deviation
so, we can say that the z score is a standard score because it tells us the distance between mean and the given value in terms of the standard deviation
Z score tells us how many standard deviation is a data point located from the mean or center of the data. That's why the z score is known as a standard score. Data value with +1 z score is one standard deviation to the right of mean and data value with -1 z score is one standard deviation to the left of the mean.
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