Answer
The range uses only two observations while the standard deviation uses all observations.
Work Step by Step
$R=largest~value-smallest~value$
$σ=\sqrt {\frac{Σ(x_i-μ)^2}{n}}$ where $i=1, 2, 3, ..., n$
Statistics: Informed Decisions Using Data (4th Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0321757270
ISBN 13:
978-0-32175-727-2
Chapter 3 - Section 3.2 - Assess Your Understanding - Explaining the Concepts - Page 156: 52
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