n this probien, we explere the effect on the standard deviation of adding the same corstaat to each eata value in a dota sel. Conglder tre following data set. \[ 14,16,14,16,14 \] (a) Use the definimg formule, the computation famula, or a caleulator to conpute + (Enter your answer ta four secimal places.)x(b) Add 3 to each data value to oet the nee dela set17,19,17,19,17, Cempece s. Gerter ypar anowe te four deamal pizce}Adding the same censtant to each data valive resuls in the stwntard devietan remeising the sarne. Adding the same constant \& to uach aata value results ws the stancaid devamen incresng by cundw: Adoting the same canstantrto edch data value cesutes is the stancard deriatce decreasing by cunts. There is fod distinat poltern when the same congtant is added to fach data value in a wh.
n this probien, we explere the effect on the standard deviation of adding the same corstaat to each eata value in a dota sel. Conglder tre following data set. \[ 14,16,14,16,14 \] (a) Use the definimg formule, the computation famula, or a caleulator to conpute + (Enter your answer ta four secimal places.)x(b) Add 3 to each data value to oet the nee dela set17,19,17,19,17, Cempece s. Gerter ypar anowe te four deamal pizce}Adding the same censtant to each data valive resuls in the stwntard devietan remeising the sarne. Adding the same constant \& to uach aata value results ws the stancaid devamen incresng by cundw: Adoting the same canstantrto edch data value cesutes is the stancard deriatce decreasing by cunts. There is fod distinat poltern when the same congtant is added to fach data value in a wh.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
In this probien, we explere the effect on the standard deviation of adding the same corstaat to each eata value in a dota sel. Conglder tre following data set. \[ 14,16,14,16,14 \] (a) Use the definimg formule, the computation famula, or a caleulator to conpute + (Enter your answer ta four secimal places.)x(b) Add 3 to each data value to oet the nee dela set17,19,17,19,17, Cempece s. Gerter ypar anowe te four deamal pizce}Adding the same censtant to each data valive resuls in the stwntard devietan remeising the sarne. Adding the same constant \& to uach aata value results ws the stancaid devamen incresng by cundw: Adoting the same canstantrto edch data value cesutes is the stancard deriatce decreasing by cunts. There is fod distinat poltern when the same congtant is added to fach data value in a wh.

Transcribed Image Text:In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set
14, 16, 14, 16, 14
LAUSE SALT
(a) Use the defining formule, the computation formula, or a calculator to computer. (Enter your answer to four decimal places)
(b) Add 3 to each data value to get the new deta set 17, 19, 17, 19, 17. Computex. (Enter your answer to four deamal places)
(c) Compare the results of parts (a) and (b). In generat, how do you think the standard deviation of a data set charges if the same constant is added to each data value?
Adding the same constant c to each data value results in the standard deviation remaining the same.
O Adding the same constant c to each data value results in the standard deviation increasing by cunts.
Adding the same constant c to each data value results in the standard deviation decreasing by cunits.
There is no distinct pattern when the same constant is added to each data value in a set
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman