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 2 - Frequency Distributions and Graphs - 2-1 Organizing Data - Exercise 2-1 - Page 51: 8


boundary is 16.25-18.55 midpoint is 17.4 width is 2.2

Work Step by Step

Since the class has 1 decimal place, the boundary will have 2 decimal places. Subtract 0.05 from smallest value and add 0.05 to the largest value to find the boundary. $16.3-0.05=16.25$ $18.5+0.05=18.55$ To find the midpoint, add the upper and lower values and divide by 2. $\frac{16.3+18.5}{2}=\frac{34.8}{2}=17.4$ To find the width, subtract the lower value from the upper value. $18.5-16.3=2.2$
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