Notes
Slide Show
Outline
1
CLAST
Statistics and Probability
Identifying Relationships
Among Mean, Median, and Mode
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Data Distributions
  • Symmetrical Data Distribution
    • Normal Distribution
  • Skewed (or Asymmetrical) Data Distribution
    • Skewed Right
    • Skewed Left
3
Data Distribution Basics
  • Mode - 70 and 90
  • element that occurs most frequently
  • highest point on the graph
  • may be modal, multi-modal, or non-modal
  • Median - 80
  • the middle value of all the data
  • Mean - 80
  • arithmetic average
4
Symmetrical Data Distribution
with Central Peak
  • one mode
  • highest point on the graph is at the center
  • mode = mean = median
  • right and left halves of the graph are mirror images of each other
5
Normal Distribution
  • One of the most important distributions in statistics
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Skewed Data Distribution
  • Mode is still the highest part of the graph.
  • Mean tends to be pulled by the tail more than the median.
  • Skewed Right
  • tail is pulled to the right
  • mean is greater than the median
  • Skewed Left
  • tail is pulled to the left
  • mean is less than the median
7
Skewed Data Distribution
  • If the mode represents more than half of the data, then the mode equals the median.