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Question

Find the mode of the following distribution of marks obtained by 80 students
Marks obtained0-1010-2020-3030-4040-50
Number of students
6 10 12 32 20

  1. 34.82
  2. 28.42
  3. 36.25
  4. 34.86

A
28.42
B
34.82
C
36.25
D
34.86
Solution
Verified by Toppr

Modal class =3040
So we have, l=30,f0=12,f1=32,f2=20 and h=10
Mode=l+f1f02f1f0f2×h

=30+32122×321220×10

=30+6.25
=36.25
Mode =36.25

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