Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 11 - Data Analysis and Displays - 11.1 - Measures of Center and Variation - Exercises - Page 590: 2

Answer

$\text{The mean will move towards the outlier.}$

Work Step by Step

$\text{Explanation:}$ As we know The $\text{Mean}$ is non-resistant so it can be affected by an outlier and ultimately the $\text{Mean}$ will want to move towards the outlier because an outlier can push the $\text{Mean}$ of the data out of its usual position, so Eliminating the outlier results in the correct $\text{Mean}$ of the Data Set. $\text{For Example:}$ Consider we have a Data $\rightarrow 1,2,3$ so The Mean for the above data is $\bar{x} = 2$ But If we add an outlier of $98$ so The Mean would become $\bar{x} = 26$. Hence we can see that the Mean move towards the outlier.
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