What does it all mean?

Means

  • Mean: the average value of a data set
  • Median: the middle of a data set, the number that splits a data set in two; requires sorting; median of an even number of elements is the mean of the middle two elements
  • Mode: value in a data set that occurs most often; if a data set has unique numbers there is no mode; if there are equal numbers of some elements there are multiple modes

Random variables

  • Discrete: finite numbers of values
  • Continuous: infinite number of values

Probability density functions

P(|Y - 2| < .1) is equivalent to P(1.9 < Y < 2.1)
  • Probability is the area under the PDF
  • Integral of f(x)d from zero to infinity is 1

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