Invitation to Computer Science 8th Edition

Published by Cengage Learning
ISBN 10: 1337561916
ISBN 13: 978-1-33756-191-4

Chapter 3 - Exercises - Page 145: 28b

Answer

$\approx \frac{n}{2}$

Work Step by Step

Average comparisons for a short sequential search in a sorted list: $\approx \frac{n}{2}$ (slightly less due to early stopping if the target is smaller than the last elements). The exact expected number of comparisons formula for a list of size $n$ can be calculated with the formula: Expected value = $\frac{Sum \space of \space all \space possible \space values}{Number \space of \space values}$ => Expected value = $\frac{1+2+3+...+n}{n}=\frac{n(n+1)}{2n}=\frac{n+1}{2} $
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