Dispersion Statistics

Dispersion statistics are essential tools used to evaluate the variability or scatter of data points in a set. These measures include but are not limited to the range, variance, standard deviation, and the interquartile range. The basic purpose of these measures is to determine the degree of deviation from the central value. A high dispersion signifies a wide spread of values while a low dispersion indicates a close grouping of values.

Finding the Standard Deviation

Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data. $\begin{array}{lllllllll}18 & 18 & 18 & 9 & 15 & 5 & 10 & 5 & 15\end{array}$ A. 1.6 B. 5.4 c. 5.1 D. 5.8
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Finding the Skew of a Data Set

Given a data set {3, 5, 7, 12, 15, 18, 21, 23}, calculate the skewness of the data set.
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Finding the Range of a Data Set

Find the range of the following data set: {4, 7, 9, 2, 6, 5, 8, 3}.
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Finding the Variance of a Data Set

Given the data set {2, 4, 6, 8, 10}, calculate the variance.
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Finding the Class Width

A data set contains the ages of students in a class. The ages range from 12 to 18. If the data is divided into 6 classes, what is the class width?
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