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JEE Exam » JEE Study Material » Mathematics » Pareto chart

Pareto chart

A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line graph.

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Besides the Pareto chart, the Pareto diagram and Pareto analysis are other names for the same thing. It is named after the Italian economist Vilfredo Pareto, who first described the Pareto principle, according to which approximately 80% of the outcomes result from only 20% of the conditions in many events, which is named after him. This assumption is used in the calculation of business profit or the population of any given country or region. As a result, it is considered to be a part of probability and statistics.

 A Pareto chart is a bar graph or a combination of bar and line graphs, that shows the relationship between two variables. With the help of a bar graph chart, you can represent a collection of information. The individual values are represented by the length of the bars, and the line represents the total of all of the values added together. The values are expressed as a function of the length of the longest bar to the length of the shortest bar in the graph. These charts are also created with the help of Excel spreadsheets, as well. This type of graph basically provides statistical information on a large amount of information for each category. As a result, it is considered to be a subset of mathematical statistics.

Analysis and Interpretation of the Pareto Chart

We will learn how to use the Pareto chart for a variety of purposes in the following sections. 

To begin, decide on the classifications that will be used to arrange the items in the bar graph and write them down.

Select a suitable unit of measurements, such as frequency, quantity, cost, or time, and enter it in the appropriate field.

Identify the time period for the Pareto chart for which the bar graph will be drawn, such as a week, a month, or a year, and then draw the graph.

Assemble the new data with the already existing data according to the category and time period in question.

Make a total of all of the measurements for all of the different categories.

Select the appropriate scale for the measurements that you have gathered so far. The maximum value will be equal to the sum of the totals you calculated in the preceding step.

Afterwards, for each category, construct the bars and label them as you go. The longest bar should be placed on the leftmost position, and the shortest bar should be placed in the rightmost position.

 

The Pareto Chart has a variety of applications

Pareto charts are the most effective chart for performing statistical analysis on large amounts of data. They are very common in the business world, especially in the financial sector. Let’s take a look at some of its additional applications.

 

It is necessary to examine the organization’s revenue growth over time in order to determine its overall viability.

To select any specific data and work on it from among a large number of data sets that are available.

In order to explain to other people the collection of data that you have.

Year after year, you can use this tool to analyse population growth in a city, a country, or all over the world.

To keep track of global issues and concentrate on resolving the most pressing ones.

To investigate the most serious complaints received from the public and resolve them as soon as possible.

 

Example of a Pareto Chart

Consider the following scenario: we are required to prepare a chart of feedback analysis for XYZ restaurant based on the reviews and ratings that have been received from the customers. Customers are provided with a checklist consisting of four points, on the basis of which they must rate the restaurant on a scale of 1 to 10. The four points are as follows:

 

The Flavor of the Food

The food’s nutritional value and price presentation

Let us now create a Pareto chart for the Feedback of XYZ restaurant based on the information we have received.

 

 

As a result, the Pareto chart takes into account the percentage of frequency (or measure) and the cumulative percentage of measures when drawing a line between the bars. In addition, the total percentage adds up to 100 percent.

Conclusion

A Pareto chart is a bar graph or a combination of bar and line graphs, that shows the relationship between two variables. With the help of a bar graph chart, you can represent a collection of information. The individual values are represented by the length of the bars, and the line represents the total of all of the values added together. Select a suitable unit of measurements, such as frequency, quantity, cost, or time, and enter it in the appropriate field. Identify the time period for the Pareto chart for which the bar graph will be drawn, such as a week, a month, or a year, and then draw the graph. Pareto charts are the most effective chart for performing statistical analysis on large amounts of data. They are very common in the business world, especially in the financial sector.

faq

Frequently asked questions

Get answers to the most common queries related to the JEE Examination Preparation.

What is the purpose of a Pareto chart?

Solution: A Pareto chart is a fundamental quality tool that aids us in identi...Read full

What is the best way to create a Pareto chart?

Solution: In Excel, a Pareto chart can be created in two steps with relative e...Read full

What is the Pareto chart's 80/20 rule?

Solution:  According to the 80/20 rule of Pareto charts, 80 percent of the ou...Read full

How do you create the Pareto chart in statistics?

Solution: In statistics, a Pareto chart can be created for any given set of da...Read full

How does the Pareto chart works?

Solution: In general, the primary goal of a Pareto chart is to draw attention ...Read full

Solution: A Pareto chart is a fundamental quality tool that aids us in identifying the most common defects, complaints, or any other factor that we can count, characterise, or categorise in any way.

 

Solution: In Excel, a Pareto chart can be created in two steps with relative ease. To begin, select the data (which is typically a column containing text categories and another containing numbers). A Pareto chart is then used to group the same categories together and add the corresponding numbers together. Then choose Insert statistic chart > histogram > Pareto distribution from the drop-down menu. This will provide you with the Pareto chart for the data you provided.

Solution:  According to the 80/20 rule of Pareto charts, 80 percent of the outcomes are determined by only 20 percent of the factors that contribute to them. As a result, it is recommended that the 20 percent defect types that are responsible for 80 percent of the defects be identified and eliminated.

Solution: In statistics, a Pareto chart can be created for any given set of data by following the steps outlined below:

Arrange the data in the given table in decreasing order of measures (or, in other words, in decreasing order of “frequency.”

Subtract the total number of measures taken.

Calculate the percentage and cumulative percentage for each of the three causes of death (category of data).

List the items on the horizontal axis of a graph in descending order from the most significant to the least significant.

Label the left vertical axis with the numbers (i.e. frequency), and then label the right vertical axis with the cumulative percentages (i.e. the percentage of the total) (the cumulative total should equal 100)

Draw in the bars for each of the items on the list.

Create a line graph depicting the cumulative percentages of the data.

 

Solution: In general, the primary goal of a Pareto chart is to draw attention to the most significant factor among a large number of factors, which is usually the case. In quality control, it is frequently used to depict the most frequent causes of defects, the most frequently occurring type of defect, or the most frequently occurring reasons for customer complaints, among other things.

 

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