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relationship between z score and normal distribution

1) When comparing data from different distributions, what is the benefit of transforming data from these distributions to conform to the standard distribution?

2) What role do z-scores play in this transformation of data from multiple distributions to the standard normal distribution?

3) What is the relationship between z-scores and percentages?

Solution Preview

When we compare data from different distributions and they have different scales, one effective approach we could apply is transforming these data to the standard distribution. More often than not, these different distributions have different means and different deviations. These different properties present great challenges when we want to understand how these distributions differ or share the same features at the statistic level. To ...

Solution Summary

The solution provides detailed explanation about transformation normal distribution and z score.