Basic Statistics: Tales of Distributions 10th Edition

Published by Cengage Learning
ISBN 10: 0-49580-891-1
ISBN 13: 978-0-49580-891-6

Chapter 3 - Exploring Data: Central Tendency - Problems - Page 46: 3.6

Answer

1. The deviation score 2. The minimum

Work Step by Step

1.if the mean of a distribution is subtracted from each score in that distribution and the differences are added, the sum will be zero ($\sum_{}^{}(X-\bar{X})=0$. This is the deviation score. 2. $\sum_{}^{}(X-\bar{X})^{2}$ is a minimum because If we subtract the mean from each score, square each deviation, and add the squared deviations together, the resulting sum will be smaller than if any number other than the mean had been used. (p. 43)
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