Discrete and Continuous Data

• Depending on the area of application, the data gathered may be discrete or continuous.
• Both binary data and count data are discrete data.
• Great distinctions are made between discrete and continuous data in the probability theory.
• Binary data and sample proportion:
  • Two categories are involved.
  • If there are $n$ units involved in the data and $x$ units is in category 1 and $n-x$ units are in category 2
  • The sample proportion in category 1 is $x/n$
  • The sample proportion in category 2 is $1-x/n$