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 184: 6b

Answer

$s=19.1~min$

Work Step by Step

$x_1=First~Class~Midpoint=5$ $x_2=Second~Class~Midpoint=15$ $x_3=Third~Class~Midpoint=25$ $x_4=Fourth~Class~Midpoint=35$ $x_5=Fifth~Class~Midpoint=45$ $x_6=Sixth~Class~Midpoint=55$ $x_7=Seventh~Class~Midpoint=65$ $x_8=Eighth~Class~Midpoint=75$ $x_9=Nineth~Class~Midpoint=85$ $x ̅=27.7$ (item (a)) $s=\sqrt {\frac{Σ(x_i-x ̅)^2f_i}{Σfi-1}}=\sqrt {\frac{(5-27.7)^2\times125+(15-27.7)^2\times271+(25-27.7)^2\times186+(35-27.7)^2\times121+(45-27.7)^2\times54+(55-27.7)^2\times62+(65-27.7)^2\times43+(75-27.7)^2\times20+(85-27.7)^2\times13}{895-1}}=19.1$
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