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This Java applet shows how the relationship between the mean and the median and illustrates several aspects of these measures of central tendency.
The applet begins by showing a histogram of 9 numbers. As can be seen in the histogram, the numbers are: 3, 4, 4, 5, 5, 5, 6, 6, and 7. The mean and median of the numbers are both 5.0. The mean is shown on the histogram as a small blue line; the median is shown as a small purple line. The standard deviation is 1.15. Note that the standard deviation is calculated using N rather than N-1 since the numers are considered to be the entire populaiton of interest. A red line extends one sd in each direction from the mean. You can change the values of the data set by "painting" the histogram with the mouse.
|Below the histogram are shown:|
The means of these 5 quantities are displayed at the bottom of the screen.