SOLUTION: If heights of individual women are expressed in units of centimeters, what are the units used for the z-scores that correspond to individual heights? A. centimeters B. It de

Algebra ->  Probability-and-statistics -> SOLUTION: If heights of individual women are expressed in units of centimeters, what are the units used for the z-scores that correspond to individual heights? A. centimeters B. It de      Log On


   

Question 360765: If heights of individual women are expressed in units of centimeters, what are the units used for the z-scores that correspond to individual heights?
A. centimeters
B. It depends on the units of the mean and standard deviation.
C. z-scores have no units.

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that the z score is z=%28x-mu%29%2F%28sigma%29. The units for both x and mu are in centimeters. So the units for x-mu are in centimeters. Also, the units for sigma are in centimeters. So the units will cancel for %28x-mu%29%2F%28sigma%29


This means that the z-score has no units.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If heights of individual women are expressed in units of centimeters, what are the units used for the z-scores that correspond to individual heights?
A. centimeters
B. It depends on the units of the mean and standard deviation.
C. z-scores have no units.
---
z-scores have no units. They are a measure of HOW MANY
standard deviations a data value is from the mean of
the data.
--------------
Cheers,
Stan H.