Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 2 - Section 2.3 - Assess Your Understanding - Vocabulary and Skill Building - Page 105: 6c

Answer

85. Lower limit: 80 Upper limit: 89

Work Step by Step

The 95 in the horizontal axis does not represent any class. 85 is the midpoint of the last class. The class width is 10 and the midpoint of the last class is 85: $Lower~limit~of~the~last~class=midpoint~of~the~last~class-\frac{class ~width}{2}=85-\frac{10}{2}=85-5=80$ $Upper~limit~of~the~last~class=midpoint~of~the~last~class+\frac{class ~width}{2}-1=85+\frac{10}{2}-1=85+5-1=89$ Suppose there is a 10th class. Its lower limit would be 90 (95-10/2). So, the upper limit of the last class must be 99. Otherwise the classes would overlap. Also, notice that the 9th class covers 10 different ages: 80, 81, 82, 83, 84, 85, 86, 87, 88 and 89.
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