. A Pareto Diagram is a variation of a histogram for categorical data resulting
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. A Pareto Diagram is a variation of a histogram for categorical data resulting from a quality control study. Each category represents a different type of product nonconformity or production problem. The categories are ordered so that the one with the largest frequency appears on the far left, then the category with the second largest frequency, and so on. Suppose the following information on nonconformities in circuit packs is obtained: failed component, 126; incorrect component, 210; insufficient solder, 67; excess solder 54; missing component, 131. Construct a Pareto 4 A transformation of data values by means of some mathematical function, such as x or 1x, can often yield a set of numbers that has "nicer statistical properties than the original data. In particular, it may be possible to find a function for which the histogram of transformed values is more symmetric (or, even, better, more like a bell-shaped curve) than the original data. As an example, the article Time Lapse Analysis of Beryllium-Lung Fibroblast Interactions (Environ, Research, 1983 34-43) reported the results of experiments designed to study the behavior of certain individual cells that had been exposed to beryllium. An important characteristic of such an individual cell is its interdivision time (IDT). IDTs were determined for a large number of cells both in exposed (treatment) and unexposed (control) conditions. The authors of the article used a logarithmic transformation, that is, transformed value- log (original value) Consider the following Use a class intervals 10-Explanation / Answer
Incorrect component 210 Missing component 131 Failed component 126 Insufficient Solder 67 Excess Solder 54 IDT group Frequency 0 - 10 0 10 - 20 8 20 - 30 14 30 - 40 8 40 - 50 4 50 - 60 3 60 - 70 2 70 - 80 1 Log10(IDT) group Frequency 1.0 - 1.1 0 1.1 - 1.2 2 1.2 - 1.3 6 1.3 - 1.4 7 1.4 - 1.5 10 1.5 - 1.6 5 1.6 - 1.7 4 1.7 - 1.8 5 1.8 - 1.9 1 The effect of the transformation is that the skewness is reduced and the data is close to mean
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