Question
Thu July 12, 2012 By:
marks less than        no. of students

# compute the mode of the following data

Fri July 13, 2012
marks less than        no. of students
10                                     0
30                                      10
50                                     25
70                                     43
90                                     65
110                                    86
130                                     96
150                                     100

To find : mode

marks less than        no. of students
0-10                                       0
10-30                                    10
30-50                                    15
50-70                                    18
70-90                                    22                                    0-110                                   21
110-130                                10
130-150                                 4

Here , the maximum frequescy is 22 , of interval 50-70, therefore mode class is 50-70
Now we know,
L1=50 , L2=70
f1 =22 , fo =18 , f2 =21

Applying the formula and putting the values we get,
Mode = L1 +  ( ( f1-fo) (L2-L1) ) /  (2f1-fo -f2 )
= 50 +( ( 22-18 ) ( 70-50) ) / (2*22-18-21 )
=50 + 16
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