An empirical relationship exists between mean, median and mode. For a moderately skewed distribution it is:

If a frequency distribution has a symmetrical frequency curve, the mean, median and mode are equal.
 If a frequency distribution is positively skewed, then mean is greater than median and median is greater than mode.
 If a frequency distribution is negatively skewed, then mean is less than median and median is less than mode.
Since median always lies between mean and mode in a moderately skewed distribution, therefore it is considered as most realistic measure of central tendency.
Problem: For a moderately skewed distribution mode = 50.04, mean = 45, Find median.
Solution:
Problem: If median = 20, and Mean = 22.5 in a moderately skewed distribution then compute approximate value of mode.
Solution:
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
It doesn’t always work