Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 12 - Statistics - 12.3 Measures of Dispersion - Exercise Set 12.3 - Page 800: 24

Answer

$\approx1.49$

Work Step by Step

The mean of $n$ numbers is the sum of the numbers divided by $n$. Hence the mean: $\frac{6+6+6+6+7+7+7+4+8+3 }{10}=6$ The standard deviation of $x_1,x_2,...,x_n$ is (where $\overline{x}$ is the mean of the data values): $\sqrt{\frac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+...+(x_n-\overline{x})^2}{n-1}}$. Hence here the the standard deviation is: $\sqrt{\frac{4(6-6)^2+3(7-6)^2+(4-6)^2+(8-6)^2+(3-6)^2}{10-1}}\approx1.49$
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