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Probability and Statistics for Engineering and the Sciences | 9th Edition | ISBN: 9781305251809 | Authors: Jay L. Devore
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A Pareto diagram is a variation of a histogram

Chapter 1, Problem 31E

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QUESTION:

Problem 31E

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 diagram.

 

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QUESTION:

Problem 31E

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 diagram.

 

ANSWER:

Answer :

Step 1 :

Given 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:

We know that.

Failed component :126.

Incorrect component : 210.

Insufficient solder : 67.

Excess solder : 54.

Missing component : 131.

Then the table is given below.

Failed component

126

Incorrect component

210

Insufficient solder

67

Excess solder

54

Missing component

131

Now we have to construct a Pareto diagram.

Pareto chart :

A Pareto chart is a special type of bar chart where the values being plotted are arranged in descending order.

Then we arranged the data from highest to smallest.

Then the table is given below.

Incorrect component

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