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MEANING OF MODE
Mode is defined as the
size of a variable which
occurs most frequently
COMPUTATION OF UN
GROUPED DATA
25,29,24,25,27,25,28,25
Here 25 is repeated maximum number
of times there for mode=25
Computation of mode
for grouped data
Mode = 3Median-2Mean
Mean = 44.6,Median=44.05
Calculate mode
Mode=3*44.05-2*44.6
mode=42.95
Another method for
grouped data
Mode=L+f1∕f1+f2
L=Lower class of model class
i=class interval
f1=frequency of the class adjacent to the model class for
which lower limit is greater than that for the model class
F2=frequency of the class adjacent to the model class
Example
score frequency
5-10 4
10-15 3
15-20 4
20-25 7
25-30 5
30-35 2
The crude mode is lie with in the class interval
20-25 Hence
L=20 f1=4
i=5 f2=5 therefore
M0 = 20+4/4+5*5
= 20+4/9*5
= 20+2.22
= 22.22
MERITS
 It is an average widely used in every day life. When
we speak of average, we generally refer mode
 It is very easily under stood and determined. it can be
determined by inspection alone
 It encourages attention to binomial and multimodal
data
 It is useful in the situations in which it is desirable to
eliminate extreme cases.
 To ordinary mind, it appears best to represent to
group.
SHORT COMINGS
 It is not at all reliable in small samples for example , if
model salaries of 50 workers aer Rs 100 per month , bt
45 out of them get different salaries , the mode is very
unreal and gives a false picture.
 It is incapable of algebric treatment .mode of one
distribution can’t be combined with another to give a
combined mode.
 In many cases, one single well defined mode exists.
Mode  ppt

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Mode ppt

  • 2.
  • 3. MEANING OF MODE Mode is defined as the size of a variable which occurs most frequently
  • 4. COMPUTATION OF UN GROUPED DATA 25,29,24,25,27,25,28,25 Here 25 is repeated maximum number of times there for mode=25
  • 5. Computation of mode for grouped data Mode = 3Median-2Mean Mean = 44.6,Median=44.05 Calculate mode Mode=3*44.05-2*44.6 mode=42.95
  • 6. Another method for grouped data Mode=L+f1∕f1+f2 L=Lower class of model class i=class interval f1=frequency of the class adjacent to the model class for which lower limit is greater than that for the model class F2=frequency of the class adjacent to the model class
  • 7. Example score frequency 5-10 4 10-15 3 15-20 4 20-25 7 25-30 5 30-35 2
  • 8. The crude mode is lie with in the class interval 20-25 Hence L=20 f1=4 i=5 f2=5 therefore M0 = 20+4/4+5*5 = 20+4/9*5 = 20+2.22 = 22.22
  • 9. MERITS  It is an average widely used in every day life. When we speak of average, we generally refer mode  It is very easily under stood and determined. it can be determined by inspection alone  It encourages attention to binomial and multimodal data  It is useful in the situations in which it is desirable to eliminate extreme cases.  To ordinary mind, it appears best to represent to group.
  • 10. SHORT COMINGS  It is not at all reliable in small samples for example , if model salaries of 50 workers aer Rs 100 per month , bt 45 out of them get different salaries , the mode is very unreal and gives a false picture.  It is incapable of algebric treatment .mode of one distribution can’t be combined with another to give a combined mode.  In many cases, one single well defined mode exists.