Relationship between mean, median and mode
Posted by mbalectures  Posted in Descriptive statistics  10,839 views  Posted on 01062010 
Tagged Under : empirical relationship between mean median and mode, mean median and mode relationship, relationship between mean median and mode
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:
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