Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-3 Measures of Variation: 8

Answer

Variance:$61986.22 \ hic^2.$ Standard deviation:$248.97 \ hic$ Range:$779 \ hic$.

Work Step by Step

The mean can be counted by summing all the data and dividing it by the number of data: $\frac{774+649+1210+546+431+612}{6}=703.67$: $\mu=703.67 \ hic.$ Variance=$\frac{\sum (x-\mu)^2}{n}=\frac{(774-703.67)^2+(649-703.67)^2+...+(612-703.67)^2}{6}=61986.22 \ hic^2.$ Standard deviation=$\sqrt{variance}=\sqrt{61986.22 \ hic^2}=248.97 \ hic$ Range=maximum value-minimum value=$1210 \ hic-431 \ hic=779 \ hic$.
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