In baseball statistics you can measure how much above or bel

In baseball statistics, you can measure how much above or below average they are in a certain area. for example, batting average, if you divide your average by the league average, and multiply by 100, you get a number. if the number is above 100, you are better than average. below, would be below average. however, I learned how we can use z score to better measure that. is it actually a better way that would give us more precise results? why or why not?

Solution

yes ,definately z score to better measure and give precise results.becasue  The Z - score can be positive or negative. Positive is above the mean. Negative is below the mean.

by the formula

Z = (score - Mean)/SD

here,SD=standard deviation

and also If you are have a set of measurement scores on different measures using Z-scores you can tell how the scores are placed in their distributions. Then you can compare them. Also, knowing the mean and standard deviation of a distribution that is reasonably Gaussian allows you to determine the percentile rank of that score.