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

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.