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: 3.3

Answer

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Work Step by Step

a. Appropriate Measure of Central Tendency Because these data are nominal (i.e., they consist of category names/initials), the only appropriate measure of central tendency is the mode—the category that appears most frequently. From the frequency distribution, G (Gandhi) appears most often, so the mode is G. b. Statistic or Parameter? Usually, we call a value calculated from data a statistic if it comes from a sample. A parameter is a measure for an entire population. Here, the political science student traveled on every street in one precinct (which might still be considered just a sample of all precincts). Most often in such studies, we treat the result as a statistic because the precinct is typically only a portion of a larger population of interest. c. Sentence of Interpretation “In this precinct, the most frequently observed yard signs were for Gandhi, indicating that Gandhi was the mode among the five candidates.”
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