Statistics, Number Theory

This week, we'll work through a few statistical concepts, then begin discussing basic concepts in Number Theory.

Readings

Chapter 5.2

By the end of the week, you should be able to:

  • Identify potential values of random variables and solve discrete problems which use random variables.
  • Compute the mean, median, mode, and range of a group of numbers.
  • Understand the premise behind central limit theorem and the law of large numbers.
  • Properly define "prime number" and use notation related to the concept of divisibility.
  • Find the prime factorization of any number.
  • Understand why divisibility rules work.
  • Know the definitions of GCD and LCM, as well as some important properties of GCD and LCM.
  • Write numbers in new bases, and compute simple arithmetic problems within the base.
  • Use your knowledge of divisibility rules in base 10 to create new rules in other bases.
  • Know what a Diophantine equation is, and how to solve simple, one-variable Diophantine equations.