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<p align="justify">An empirical relationship exists between mean, median and mode. For a moderately skewed distribution it is:</p>
<p align="justify">&#160;</p>
<p align="justify"><a href="http://mba-lectures.com/wp-content/uploads/2010/06/image14.png"><img title="image" style="border-top-width: 0px; display: inline; border-left-width: 0px; border-bottom-width: 0px; border-right-width: 0px" height="38" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb14.png" width="240" border="0" /></a> </p>
<p align="justify">&#160;</p>
<ul>
<li>
<div>If a frequency distribution has a symmetrical frequency curve, the mean, median and mode are equal. </div>
</li>
</ul>
<p> &#160;</p>
<p> <a href="http://mba-lectures.com/wp-content/uploads/2010/06/image15.png"><img title="image" style="border-top-width: 0px; display: inline; border-left-width: 0px; border-bottom-width: 0px; border-right-width: 0px" height="132" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb15.png" width="400" border="0" /></a> </p>
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<p> &#160;</p>
<ul>
<li>If a frequency distribution is positively skewed, then mean is greater than median and median is greater than mode. </li>
</ul>
<p> &#160;</p>
<p> <a href="http://mba-lectures.com/wp-content/uploads/2010/06/image16.png"><img title="image" style="border-top-width: 0px; display: inline; border-left-width: 0px; border-bottom-width: 0px; border-right-width: 0px" height="117" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb16.png" width="400" border="0" /></a> </p>
<p> &#160;</p>
<ul>
<li>If a frequency distribution is negatively skewed, then mean is less than median and median is less than mode. </li>
</ul>
</p>
<p>&#160;</p>
<p> <a href="http://mba-lectures.com/wp-content/uploads/2010/06/image17.png"><img title="image" style="border-top-width: 0px; display: inline; border-left-width: 0px; border-bottom-width: 0px; border-right-width: 0px" height="120" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb17.png" width="400" border="0" /></a> </p>
<p> &#160;</p>
<p> Since median always lies between mean and mode in a moderately skewed distribution, therefore it is considered as most realistic measure of central tendency.</p>
<p><strong>Problem:</strong> For a moderately skewed distribution mode = 50.04, mean = 45, Find median. </p>
<p> &#160;
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View Comments
thanx for providing valuable information
Thanks
its very funny
Hi everyone it's Sweety studying 10th standard I want a clear derivation of empirical relation between mean,mode, and median
Can anyone suggest a link or the website
Thank you
Sweety
U never described the symbols in the graph, its like they are contradicting with the statements.
thanks! =D
thanks for giveing a hint...
thanks its good to understand in short time.
It will be so much enriched if mean,median,mode of distributions like Binomial,normal and others are added.
Thank you