Mode is that value which occurs most
frequently in a statistical distribution.
According to A.M. Tuttle, “Mode is the value
which has the greatest frequency density in
its immediate neighborhood.”
A distribution can also have more than one
nodal value. A distribution having one nodal
value is known as UniModal. A distribution
having two or more nodal values is known as
BiNodal or MultiNodal respectively.
Relation
between
(Mean),
M (Median) and Z (Mode)
For a moderately asymmetric series
Individual Series:

Arrange the series in ascending or
descending order

Find the term which is occurring most of
the times. This term is Mode (Z).
To find the Mode in a series
Arranging the series in ascending order
In this series 10 is occurring 3 times so Z
= 10.
Discrete Series:
In discrete series the value which has
highest frequency is Mode.
To find the mode in a series
X: 
5 
8 
11 
15 
24 
Frequency (f): 
3 
8 
13 
20 
12 
In this series the highest frequency is 20
and the variable corresponding to this is 15
so the Mode = Z = 15
Continuous Series:
To calculate the Mode, we use the following
formula
Where L = Lower limit of Modal interval
f_{1 }= frequency corresponding to
Modal interval
f_{2 }= frequency of succeeding
Modal Interval
f_{0 }= frequency of preceeding
Modal interval
i = Length of Modal interval
Mode can also be calculated by taking the
upper limit
Where L is the upper limit.
To calculate the Mode of a continuous series
X: 
010 
1020 
2030 
3040 
4050 
5060 
6070 
f: 
5 
12 
20 (f_{0}) 
43 (f_{1}) 
32 (f_{2}) 
21 
8 
The Modal interval is 3040, L = 30, i = 10
f_{0 }= 20, f_{1} = 43, f_{2}
= 32
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