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CAT Introduction to Scatter Graphs - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:47 PM | #CAT

Quick Facts

  • 3 Questions around this concept.

Solve by difficulty

Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Directions for question:

Mr Vinay Dube, the CEO of Akasa Air, decided to reinforce his fleet of aircrafts to pump up the profitability of Akasa Air. However recession was round the corner, and being the intelligent entrepreneur that he was, wanted to do so at the minimum cost to the Akasa Air capital. So he initiated a reconnaissance of the condition of the then defunct Kingfisher Airlines (KFA) aircrafts lying at the various airports of India, with the aim of buying them from the Airport Authority of India and the tax authorities, who would be more than willing to auction them at a nominal cost to any buyer who would be remotely interested. He would then repair them to make them airworthy, and use them in the Akasa Air fleet. The repairing was the actual big budget expense that would have to be undertaken.

The result of the reconnaissance yielded the fact that there were ten modern Airbus jet airliners of A319 and A380 version of Kingfisher Airlines (KFA) which were in very decent condition and could very well be used after repairs of the issues created by lack of usage for a very long time. The ten aircrafts were coded with the English letters from A to J. 

The maintenance engineers submitted a survey report to Mr Dube on the estimate of the expenditure behind repairs of the aircrafts A to J. All the expenditures behind repairs (in Rs crores) of each aircraft were integral. The repairs with an estimated cost of rupees ten to twenty crores were termed as ‘minor repairs’, that of rupees thirty to forty crores as ‘medium repairs’ and that of rupees fifty to sixty crores as ‘major repairs’.

The report was in the form of a Scatter Graph as shown below :

The report also stated that :

a) Aircrafts coded A, C, E, G and I would not need minor repairs, aircrafts coded B, D, F, H and J would not need medium repairs and aircrafts coded C, F and I would not need major repairs

b) Aircrafts coded D to I would need different repairing costs

c) Aircraft coded G needed the maximum and aircraft coded H the minimum repairing expenditure.

Question:

Which of the following options may not be necessarily true ? 

 

Directions for question:

Mr Vinay Dube, the CEO of Akasa Air, decided to reinforce his fleet of aircrafts to pump up the profitability of Akasa Air. However recession was round the corner, and being the intelligent entrepreneur that he was, wanted to do so at the minimum cost to the Akasa Air capital. So he initiated a reconnaissance of the condition of the then defunct Kingfisher Airlines (KFA) aircrafts lying at the various airports of India, with the aim of buying them from the Airport Authority of India and the tax authorities, who would be more than willing to auction them at a nominal cost to any buyer who would be remotely interested. He would then repair them to make them airworthy, and use them in the Akasa Air fleet. The repairing was the actual big budget expense that would have to be undertaken.

The result of the reconnaissance yielded the fact that there were ten modern Airbus jet airliners of A319 and A380 version of Kingfisher Airlines (KFA) which were in very decent condition and could very well be used after repairs of the issues created by lack of usage for a very long time. The ten aircrafts were coded with the English letters from A to J. 

The maintenance engineers submitted a survey report to Mr Dube on the estimate of the expenditure behind repairs of the aircrafts A to J. All the expenditures behind repairs (in Rs crores) of each aircraft were integral. The repairs with an estimated cost of rupees ten to twenty crores were termed as ‘minor repairs’, that of rupees thirty to forty crores as ‘medium repairs’ and that of rupees fifty to sixty crores as ‘major repairs’.

The report was in the form of a Scatter Graph as shown below :

The report also stated that :

a) Aircrafts coded A, C, E, G and I would not need minor repairs, aircrafts coded B, D, F, H and J would not need medium repairs and aircrafts coded C, F and I would not need major repairs

b) Aircrafts coded D to I would need different repairing costs

c) Aircraft coded G needed the maximum and aircraft coded H the minimum repairing expenditure.

Question:

From the complete report, which of the below mentioned aircrafts can be correctly considered to be an A380 Airbus ?

Concepts Covered - 1

Introduction to Scatter Graphs

A scatter graph, also known as a scatter plot or scatter chart, is a graphical representation used to display data points on a two-dimensional plane. Each data point represents the values of two variables, making scatter graphs ideal for showing the relationship or correlation between those variables. Scatter graphs help us identify trends, clusters, or patterns in data.

Key Components of Scatter Graphs:

  • X-Axis: The horizontal axis represents one variable (independent variable), while the y-axis represents the other variable (dependent variable).
  • Data Points: Data points are plotted on the graph, with each point representing a specific value of both variables. Each point's position is determined by its values on the x-axis and y-axis.

Interpreting Scatter Graphs:

  • Scatter graphs are used to explore and visualize the relationship or correlation between two variables.
  • The pattern of data points can reveal information about the strength and direction of the relationship (positive, negative, or no correlation).

Example Scatter Graph:

Let's consider an example scatter graph to illustrate these concepts:

Interpreting the Example Scatter Graph:

  • This scatter graph represents the relationship between the number of hours spent studying and the scores achieved on a test for a group of students.
  • The x-axis displays the number of hours spent studying, and the y-axis shows the test scores.
  • Each data point on the graph represents a student's study hours and test score.

Sample Questions:

  • Is there a correlation between the number of hours spent studying and test scores?
    • Answer: Yes, there appears to be a positive correlation between the number of hours spent studying and test scores. As study hours increase, test scores tend to increase as well.
  • Identify any outliers in the data.
    • Answer: There is one outlier where a student spent a relatively small amount of time studying but achieved a high test score.
  • What is the approximate test score for a student who studied for 6 hours?
    • Answer: Based on the graph, a student who studied for 6 hours is likely to achieve a test score of around 80.

Conclusion: Scatter graphs are valuable tools for visualizing and exploring the relationships between two variables. They provide insights into correlations, trends, and outliers within data sets. Understanding how to interpret and analyze scatter graphs is essential for making informed decisions based on the relationship between variables. Regular practice with scatter graph-based questions enhances your ability to extract meaningful information from data representations accurately.

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