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10.1 12.2 13.2 10.9 12.2 13.2

10.1 12.2 13.2 10.9 12.2 13.2

MATLAB: An Introduction with Applications
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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A botanist grew 24 pepper plants on the same greenhouse bench. After 21 days, she measured the total stem length (cm) of each plant, and obtained the following values: 9.8 12.1 13.1 10.1 12.2 13.2 10.9 12.2 13.2 11.3 12.3 13.4 11.8 12.5 13.5 11.9 12.6 13.5 12.0 12.7 13.6 12.0 13.0 14.1 If the observation for the pepper plant with the shortest stem length and the observation for the pepper plant with the largest stem length were removed from the data set, what would happen to the standard deviation of the 22 remaining stem lengths? OA. It would stay the same. OB. It would decrease. OC. It would increase. OD. There is not enough information to answer this question.
Transcribed Image Text:A botanist grew 24 pepper plants on the same greenhouse bench. After 21 days, she measured the total stem length (cm) of each plant, and obtained the following values: 9.8 12.1 13.1 10.1 12.2 13.2 10.9 12.2 13.2 11.3 12.3 13.4 11.8 12.5 13.5 11.9 12.6 13.5 12.0 12.7 13.6 12.0 13.0 14.1 If the observation for the pepper plant with the shortest stem length and the observation for the pepper plant with the largest stem length were removed from the data set, what would happen to the standard deviation of the 22 remaining stem lengths? OA. It would stay the same. OB. It would decrease. OC. It would increase. OD. There is not enough information to answer this question.
Expert Solution
Introduction

The one with a higher standard deviation is the one in which the data are more dispersed from the mean when 

two data sets with the same mean are compared.

Extreme values can affect standard deviation. 
A single extremely out of the range number can increase the standard deviation and represent the dispersion inaccurately.

 

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