Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 7 - Section 7.2 - Assess Your Understanding - Applying the Concepts - Page 380: 52c

Answer

The mean and standard deviation are 3375 and 492.96.

Work Step by Step

Calculate the midpoint first for the provided data. It can be calculated as \[\begin{align} & \frac{0+499}{2}=249.5 \\ & \approx 250 \\ & \frac{500+999}{2}=749.5 \\ & \approx 750 \end{align}\] This can be calculated by using Excel software. Hence, the standard deviation is obtained as \[\begin{align} & \sigma =\sqrt{{{\left( m-\mu \right)}^{2}}f} \\ & =\sqrt{243012} \\ & =492.96 \end{align}\]
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