Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Cumulative Review - Page 848: 34


See below.

Work Step by Step

The mean of $n$ numbers is the sum of the numbers divided by $n$. The median of $n$ is the middle number of the numbers when they are in order (and the mean of the middle $2$ numbers if $n$ is even). The mode of $n$ numbers is the number or numbers that appear(s) most frequently. Hence here the mean: $\frac{-3+ 5+(-11)+ 6+(-3)+ 2}{6}=0.67$, the median is the mean of the middle items in the sequence $-11,-3, -3, 2,5, 6$, which is: $(-3+2)/2=-0.5$, the mode is $-3$. The range is the difference between the largest and the smallest data value. The standard deviation of $x_1,x_2,...,x_n$ is (where $\overline{x}$ is the mean of the data values): $\sqrt{\frac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+...+(x_n-\overline{x})^2}{n}}$. Hence here the range is: $6-(-11)=17$ and the standard deviation is: $\sqrt{\frac{(-3-0.67)^2+(-5-0.67)^2+...+(2-0.67)^2}{6-1}}\approx6.3456$
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