Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 3 - Review - Review Exercises - Page 183: 1b

Answer

$R=4.8~m/s$ The sample variance: $s^2=2.025~m^2/s^2$ The sample standard deviation: $s=1.423~m/s$

Work Step by Step

$R=largest~value-smallest~value=794.4-789.6=4.8$ According to the previous question: $x̅=mean=792.51$ The sample variance: $s^2=\frac{Σ(x_i-x̅)^2}{n-1}=\frac{(789.6-792.51)^2+(791.4-792.51)^2+(791.7-792.51)^2+(792.3-792.51)^2+(792.4-792.51)^2+(792.4-792.51)^2+(793.1-792.51)^2+(793.8-792.51)^2+(794.0-792.51)^2+(794.4-792.51)^2}{10-1}=2.025$ The sample standard deviation: $s=\sqrt {2.025}=1.423$
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