Q.6.120 - Elementary Statistics

Question

Explain how to obtain normal scores from Table III in Appendix $A$ when a sample contains equal observations.

Step-by-Step Solution

Answer

If two or more samples have the same amount of observations, the normal score can be calculated by treating them as somewhat different from one another.

Step 1: Given Information

Consider the "data normalcy score."

It is a tool for transforming your data into a typical normal distribution.

Step 2: Explanation

The raw score's distance from the data's mean value is described by the normal score. It's also known as the $z$-score or standard score.

$z-\text{ score }=\frac{x-\mu }{\sigma }$

$x\to$ raw score.

If two or more samples have the same amount of observations, the normal score can be calculated by treating them as somewhat different from one another.