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Statistics I207610 marksNumerical: measures of dispersionMeasures of dispersion

What are the roles of measure of dispersion in descriptive statistics? Following table gives the frequency distribution of thickness of computer chips (in nanometer) manufactured by two companies.

What are the roles of measure of dispersion in descriptive statistics?

Following table gives the frequency distribution of thickness of computer chips (in nanometer) manufactured by two companies.

$$\begin{array}{|c|cccccc|}\hline \text{Thickness of computer chips} & 5 & 10 & 15 & 20 & 25 & 30 \ \hline \text{Number of chips} & & & & & & \ \text{Company A} & 10 & 15 & 24 & 20 & 18 & 13 \ \text{Company B} & 12 & 18 & 20 & 22 & 24 & 4 \ \hline \end{array}$$

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A measure of dispersion quantifies the spread or scatter of observations around a central value. Its main roles are: 1. Judging reliability of an average: Small dispersion means the average represents the data well; large dispersion weakens the average's reliability. 2. Comparing consistency of t...

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