Lesson 5: Standardizing

• If concerned with proportion less than or greater than a certain value, we should use relative frequencies
• Smaller bins can provide more accurate details on histograms, but bin sizes too small, can hide shape of distribution
• Continuous distribution
  • An equation that allows you to calculate proportion between any two values on x-axis of distribution
• Area of normally proportionally distributed data will always be "1" or 100%

• z score

  • number of standard deviations away from the mean on the x-axis
  • Formula:

  z = (x - mu) / std_dev

  • Negative z-scores are to the left of the mean (less than the mean)
  • Standardize distribution
  • converting the mean to 0 - shift the distribution left or right
  • standard deviation becomes 1