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. 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 set14, 16, 14, 16, 14LAUSE 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

Answered: n this probien, we explere the effect…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.