Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 3 - Data Description - 3-1 Measures of Central Tendency - Exercises 3-1 - Page 124: 13

Answer

5 3.5–6.5

Work Step by Step

To find the mean value, first calculate the midpoints of each class as $2,5,8,11,14$, next multiply each midpoint with its corresponding frequency and add up to get 150, finally the mean is the ratio of 150 to the total frequency $\mu=150/30=5$ The modal class is the class with the largest frequency. which is 3.5–6.5
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