Tips and Tricks for Pie Chart

# Tips and Tricks for Pie Chart | Logical Reasoning (LR) and Data Interpretation (DI) - CAT PDF Download

Pie charts serve as a prevalent form of data visualization in the realm of data interpretation.

Consider the following tips and tricks for effectively addressing pie chart questions:

• Scrutinize the pie chart data attentively: When the distribution is presented in percentages, multiply the given percentage by the total data amount and then divide by 100 to derive the actual value.

• Acknowledge that a complete circle encompasses 360 degrees: In a pie chart, each sector corresponds to a specific percentage of the total data, calculable using the formula: percentage of data = (given data/total of all data) x 100.

• Calculate the central angle for each sector using the formula: central angle of data = (given data/total of all data) x 360 degrees.

• Engage in regular practice solving pie chart questions accompanied by solutions and explanations.

Uses of Pie Charts: Pie charts, a type of chart portraying fractions as components of a whole, find common application in data comparison and analysis to discern variations in data magnitude. Pie charts are particularly advantageous when dealing with discrete data.

Explore the diverse uses of pie charts:

1. Illustrating percentages of a whole.

2. Representing sample data with data points categorized differently.

3. Comparing growth areas within a business, such as turnover, profit, and exposure.

4. Depicting categorical data.

5. Conveying a student's performance in a test.

### Solved Examples

DIRECTIONS for Questions 1-5
Refer to the pie chart given below and answer the questions that follow.
The given pie chart shows the marks scored by a students of G.D.Goenka School in different subjects- English, Hindi, Mathematics, Science and Social Science in an examination. The values given are in degrees.
Assumption: Total marks obtained in the examination are 900.

Q1: What are the total marks scored in Social Science and English by students of G.D.Goenka School?
(a) 300
(b) 350
(c) 400
(d) 450

Ans: (a)
Sol: The angle of the English sector is 55°, and the angle of the Social Science sector is 65°. So the sum of angles is 120°. The sum of marks = (120 x 900) / 360 = 300.

Q2: The Marks scored by the student of G. D. Goenka School in English and Mathematics are less than the marks scored in Science and Hindi by
(a) 5%
(b) 4.33%
(c) 3.33%
(d) 6%

Ans: (c)
Sol: Marks scored in English and Mathematics = (55 + 90) / 360 x 900 = 362.5. Marks scored in Hindi and Science = (70 + 80) / 360 x 900 = 375. Percent decrease = 12.5 / 375 x 100 = 3.33%.

Q3: The difference of marks scored in Social Science and Science by students of G. D. Goenka School is
(a) 37.5
(b) 40
(c) 20
(d) 15

Ans: (a)
Sol: Angle of Science sector is 80°, and the angle of Social Science sector is 65°. So the difference of the angle is 15°. The difference of marks = (15 x 900) / 3600 = 37.5.

Q4: If the marks scored by the student of G. D. Goenka School are 137.5, then the subject is
(a) English
(b) Hindi
(c) Mathematics
(d) Science

Ans: (a)
Sol: Marks scored in English = 55 / 360 x 900 = 137.5.

Q45: If the total marks of a student of G. D. Goenka School were 3000, then marks in Mathematics would be
(a) 800
(b) 750
(c) 850
(d) 900

Ans: (b)
Sol: Marks obtained in Mathematics would be = 90 / 360 x 3000 = 750.

The document Tips and Tricks for Pie Chart | Logical Reasoning (LR) and Data Interpretation (DI) - CAT is a part of the CAT Course Logical Reasoning (LR) and Data Interpretation (DI).
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## FAQs on Tips and Tricks for Pie Chart - Logical Reasoning (LR) and Data Interpretation (DI) - CAT

 1. What is a pie chart and how is it used in CAT?
Ans. A pie chart is a circular statistical graphic divided into slices to represent numerical proportions. In the CAT exam, pie charts are used to present data in a visual format, making it easier for candidates to analyze and interpret the information.
 2. How can I interpret a pie chart in the CAT exam?
Ans. To interpret a pie chart in the CAT exam, you should focus on the size of each slice relative to the whole pie. The size of each slice represents the proportion or percentage of the total data it represents. Analyze the angles of the slices and compare them to make meaningful observations about the data.
 3. What are some common mistakes to avoid when interpreting a pie chart in the CAT exam?
Ans. Some common mistakes to avoid when interpreting a pie chart in the CAT exam include misinterpreting the angles as the actual data values, not considering the size of the slices in relation to the whole pie, and making incorrect assumptions about the data without proper analysis.
 4. How can I calculate the values represented by the slices in a pie chart during the CAT exam?
Ans. In the CAT exam, the values represented by the slices in a pie chart are usually not provided. To calculate these values, you can use the proportions or percentages represented by the angles of the slices. Multiply these proportions by the total value or sum of the data to estimate the values represented by the slices.
 5. Can I use a pie chart to compare data across different categories in the CAT exam?
Ans. Pie charts are not the most suitable for comparing data across different categories in the CAT exam. They are more effective for showing the composition or distribution of a single category. If you need to compare data across different categories, other types of charts like bar graphs or line graphs may be more appropriate.

## Logical Reasoning (LR) and Data Interpretation (DI)

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