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: 7

Answer

Variance:$7879.81 \ hic^2.$ Standard deviation:$88.77 \ hic$ Range:$218 \ hic$.

Work Step by Step

The mean can be counted by summing all the data and dividing it by the number of data: $\frac{371+356+393+544+326+520+501}{7}=430.14$: $\mu=430.14 \ hic.$ Variance=$\frac{\sum (x-\mu)^2}{n}=\frac{(371-430.14)^2+(351-430.14)^2+...+(501-430.14)^2}{7}=7879.81 \ hic^2.$ Standard deviation=$\sqrt{variance}=\sqrt{7879.81 \ hic^2}= 88.77 \ hic$ Range=maximum value-minimum value=$544 \ hic-326 \ hic=218 \ hic$.
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