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 - Explaining the Concepts - Page 109: 25

Answer

Yes. The sum of all relative frequencies is equal to 1.

Work Step by Step

$Cumulative~relative~frequency=\frac{cumulative~frequency}{sum~of~all~frequencies}$ In the last class: $cumulative~frequency~for~the~last~class=sum~of~all~frequencies$ So: $Cumulative~relative~frequency~for~the~last~class=\frac{cumulative~frequency~for~the~last~class}{sum~of~all~frequencies}=\frac{sum~of~all~frequencies}{sum~of~all~frequencies}=1$
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