MATH 279 Exam: Find Max/Min in MATLAB, R, Python
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Questions and Answers

What is the primary goal when creating an algorithm to find the maximum and minimum values in a dataset?

  • To minimize the use of computational resources regardless of accuracy.
  • To make the algorithm compatible with only one specific programming language.
  • To ensure the algorithm is written in the shortest possible number of lines.
  • To efficiently and accurately identify the largest and smallest values within the dataset. (correct)

In the context of finding the maximum and minimum values in a dataset, what is the main purpose of using a flowchart?

  • To increase the complexity of the algorithm.
  • To replace the need for writing an algorithm.
  • To automatically generate the code in a programming language.
  • To provide a visual representation of the algorithm's steps, aiding in understanding and implementation. (correct)

When implementing an algorithm to find the maximum and minimum values, which of the following considerations is most important for ensuring code maintainability and readability?

  • Using the most advanced language features.
  • Avoiding the use of functions or subroutines.
  • Minimizing the number of lines of code at all costs.
  • Employing clear variable names and comments to explain the code's logic. (correct)

Which of the following is a characteristic of an inefficient algorithm for finding the minimum and maximum values in a dataset?

<p>Requiring multiple passes through the dataset for each value. (A)</p> Signup and view all the answers

What advantage does using a programming language like Python, R, or MATLAB offer when finding the maximum and minimum values in a dataset?

<p>They provide built-in functions and libraries that simplify the implementation of the algorithm. (B)</p> Signup and view all the answers

Consider an algorithm that iterates through a dataset to find the maximum and minimum values. How could you optimize this algorithm to reduce the number of comparisons?

<p>By using a divide-and-conquer approach, processing pairs of elements to update both minimum and maximum. (C)</p> Signup and view all the answers

When choosing between different programming languages (MATLAB, R, Python) to implement the algorithm, what is a key factor to consider?

<p>Personal familiarity with the language and the availability of relevant libraries. (C)</p> Signup and view all the answers

How does documenting your code with comments and a flowchart contribute to the overall programming process of finding the maximum and minimum values?

<p>It helps in understanding the logic, debugging, and collaboration with others. (D)</p> Signup and view all the answers

Imagine you have a dataset with some missing or invalid values. How should your algorithm handle these cases when finding the maximum and minimum?

<p>Implement error handling to either skip these values or provide a warning, ensuring they don't distort the results. (B)</p> Signup and view all the answers

In terms of computational complexity, what is the efficiency of a well-optimized algorithm for finding both the minimum and maximum values in an unsorted dataset of $n$ elements?

<p>$O(n)$ (D)</p> Signup and view all the answers

Flashcards

What is an algorithm?

A step-by-step procedure for solving a problem.

What is a flowchart?

A visual representation of an algorithm, using shapes to represent steps and decisions.

What is MATLAB?

A programming language often used for numerical computing and data analysis.

What is R?

A programming language widely used for statistical computing and graphics.

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What is Python?

A versatile programming language known for readability and used in various applications.

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What is the maximum?

The highest value in a dataset.

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What is the minimum?

The lowest value in a dataset.

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Study Notes

  • Kwame Nkrumah University Of Science and Technology is holding a Mid-Second Semester Examination for the 2023/2024 academic year.
  • The examination is for MATH 279: Programming for Mathematics, second year.
  • Classes involved: BSc. Mathematics, BSc. Actuarial Science, BSc. Statistics.
  • The exam is in February 2024 and lasts 45 minutes.
  • All questions must be answered in the answer booklet provided.
  • The answer booklet should be submitted at the end of the examination; students can keep the question paper.
  • Students are allowed to use any available microcomputer or scientific calculator for computations.
  • Task: Write a computer program to find the maximum and minimum of a given generic dataset x = (x1, x2, ..., xn).
  • Create an algorithm to implement the task.
  • Support the algorithm with a flowchart.
  • Write a computer program using the designed algorithm or flowchart in MATLAB, R or Python.
  • The exam is by E. Owusu-Ansah.

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Mid-semester exam question from Kwame Nkrumah University of Science and Technology for MATH 279: Programming for Mathematics. The task involves creating an algorithm and flowchart to find the maximum and minimum values in a given dataset. Implement the solution in MATLAB, R, or Python.

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