Question

Describe, in words, what the z-score represents and how you would interpret a z-score?

Answer 1

Answers:

Z-Score:

Z-score describes the values of various standard deviations with the help- of mean.

Let us taken z-score is equal to 0, it is on the mean.

If a z-score is equal to +1, it is 1 Standard Deviation above the mean.

With regards to interpreting, you should take note of that by subtracting the mean from an information esteem, we will get a negative in the event that it is littler than the mean and a positive on the off chance that it is bigger. Along these lines, the sign gives the "directions" far from the mean. By separating this distinction by the standard deviation, we are putting this separation between the mean and the information esteem as far as various standard deviations.

As you saw over, the esteem and the indication of the z-score gives you data about the area of the information esteem. In particular:

A positive z-score implies the information esteem is bigger than the mean.

On the off chance that an information esteem has a z-score of 1, that reveals to us that this information esteem is 1 standard deviations bigger than the mean.

A negative z-score implies the information esteem is littler than the mean.

On the off chance that an information esteem has a z-score of – 4.1, this information esteem is 4.1 standard deviations littler than the mean.

A z-score of zero implies that the information esteem measures up to the mean.

The formula for z-score is,

z=x−μ / σ