The mean, the median and the mode are measures of central tendency, and they are related in some many ways, depending on the type of distribution.
The median of the moderately asymmetrical distribution is 26
The given parameters are:
[tex]Mean = 30[/tex]
[tex]Mode = 24[/tex]
For a moderately asymmetrical distribution, the mean, median and mode are related by the following equation:
[tex]Mode = 3 * Median - 2 * Mean[/tex]
Substitute known values
[tex]30= 3 * Median - 2 * 24[/tex]
[tex]30= 3 * Median - 48[/tex]
Collect like terms
[tex]3 * Median =30+ 48[/tex]
[tex]3 * Median =78[/tex]
Divide both sides by 3
[tex]Median =26[/tex]
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