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Density Curves

Topic Review on "Title":

Mean of a Density Curve: think of a fulcrum balancing a density curve, the line inside the curve represents the mean.


  • If more weight is on the left of the curve than the right, the curve would dip on the left.
  • If more weight is on the right of the curve than the left, the curve would dip on the right.

Symmetric Curve: Mean and Median: the mean and median are the same for a symmetric density curve.

    Mean = Median Median

Left Skewed Curve: Mean and Median: in a left skewed distribution, the mean is on the left closer to the tail of the distribution.

  • The median is located at the center of the data.


Right Skewed Curve: Mean and Median

  • In a right skewed distribution, the mean is on the right closer to the tail of the distribution.
  • The median is located at the center of the data.


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial shows the density curves and their properties. Many illustrative graphs are used to show you what density curve is, their shapes, and how to identify a density curve, etc.

After this tutorial you will be able to identify a density curve, name the shape of the density curve, understand the importance of the area under the density curve and locate the mean and median of a density curve.

Tutorial Features:

Specific Tutorial Features:

  • We use a lot of graphs in illustrating the different density curves and their shape and how to obtain their means, step by step.
  • The way to balance density curve and the relationship between mean and median are also demonstrated in the examples.

Series Features:

  • Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
  • Definition slides introduce terms as they are needed.
  • Visual representation of concepts
  • Animated examples—worked out step by step
  • A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
  • Density Curve
  • Mean of a Density Curve
  • Median of a Density Curve

See all 24 lessons in Introductory Statistics, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Introductory Statistics Visually in 24 Hours

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