6. What is the Z score for any mean? What is the z score for any standard deviation?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A
Le
esc
6. What is the Z score for any mean? What is the z score for any standard deviation?
1,433
F1
A
BLO
@
F2
wie numerical value of the SCULC
#C
80
F3
S
111
a
F4
%
0
F5
MacBook Air
A
C
FEB
11
F6
Transcribed Image Text:A Le esc 6. What is the Z score for any mean? What is the z score for any standard deviation? 1,433 F1 A BLO @ F2 wie numerical value of the SCULC #C 80 F3 S 111 a F4 % 0 F5 MacBook Air A C FEB 11 F6
Expert Solution
Step 1

Let's consider for 1 st part. 

The Z-score is a measure of how many standard deviations a data point is from the mean of a distribution. A Z-score of 0 corresponds to the mean of the distribution, and a Z-score of 1 corresponds to one standard deviation above the mean. Simply it follows N(0, 1) . 

Generally, the formula for calculating the Z-score for a given data point x in a normal distribution with mean μ and standard deviation σ is:

 

Z = (x - μ) / σ

 

Therefore, the Z-score for any mean μ is 0, since a data point with the same value as the mean has a Z-score of 0.

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman