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== 3.4#h(0.6em)Balance Scale Simulation


    This section is an interactive demonstration. The live simulation runs on the original site: #link("https://onlinestatbook.com/2/summarizing_distributions/balance.html")[open the demonstration at onlinestatbook.com].


    Learning Objectives


    + Understand what it means for a distribution to balance on a fulcrum
+ Learn which measure of central tendency will balance a distribution.


    #strong[Instructions] #linebreak() 

                
                This demonstration allows you to see the point at which the
                distribution balances for different shaped distributions.
                 #linebreak() 
                 #linebreak() 
                The graph in the right panel is a histogram of 600 scores. The mean and median are equal to 8 and are
                indicated by small vertical bars on the X axis The top portion of the bar is in blue and represents the mean. The
                bottom portion is in pink and represents the median. The mean and median are also shown to the left of the Y axis.
                 #linebreak()  #linebreak() 
                You can see that the histogram is balanced on the tip of the triangle (the fulcrum).
                The triangle beneath
                the X-axis is always at the point where the histogram is balanced. In these slides you will see
                differently shaped distributions. See
                if you can determine the relationship between the mean, median, and/or the mode and the
                location of the balance point.

                
                 #linebreak() 
                 #linebreak()


    #strong[Slide Show] #linebreak()