The use of min and max in statistics

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SUMMARY

The discussion centers on the definitions and applications of the min and max functions in the context of the g(x) function examples provided in lecture slides. The max function, denoted as max{a,b}, returns the larger of two values, while the min function, denoted as min{a,b}, returns the smaller value. These functions are fundamental in statistics and mathematics for determining bounds in various problems. Understanding these concepts is crucial for interpreting the examples shared in the forum.

PREREQUISITES
  • Basic understanding of mathematical functions
  • Familiarity with the concepts of minimum and maximum values
  • Knowledge of function notation, specifically g(x)
  • Introductory statistics concepts
NEXT STEPS
  • Study the properties of piecewise functions and their applications
  • Learn about optimization techniques in calculus
  • Explore statistical measures such as range and interquartile range
  • Investigate the use of min and max functions in programming languages like Python
USEFUL FOR

Students in mathematics or statistics courses, educators teaching these concepts, and anyone looking to deepen their understanding of function analysis and optimization techniques.

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Homework Statement



These are taken from my class's lecture slides. I'm trying to understand the entire thought process and reasoning, so I'm just wondering what min and max mean in the g(x) function examples.

Here is the first example: http://gyazo.com/7f9d707df0c8512bfa91a1f200dc3429.png

Here is the other one: http://gyazo.com/91ebcc5fcdb4cbb405449860db0c1404.png

They are both based on the same problem.

Thank you for any help!

Homework Equations





The Attempt at a Solution

 
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penguinnnnnx5 said:

Homework Statement



These are taken from my class's lecture slides. I'm trying to understand the entire thought process and reasoning, so I'm just wondering what min and max mean in the g(x) function examples.

Here is the first example: http://gyazo.com/7f9d707df0c8512bfa91a1f200dc3429.png

Here is the other one: http://gyazo.com/91ebcc5fcdb4cbb405449860db0c1404.png

They are both based on the same problem.

Thank you for any help!

Homework Equations





The Attempt at a Solution


The value of max{a,b} is the larger of the two values of a and b. min{a,b} is the smaller. It's what you might have guessed.
 

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