Find the mode of the following data
classes frequency
0-10 7
10-20 10
20-30 15
30-40 8
40-50 10
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Marks No. of students
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50 8
12 [20-8]
25 [45-20]
13 [58-45]
12 [70-58]
The group with 25 students has highest frequency
Hence modal class =20−30
Mode = l+[
2f 1 −f0 −f 2f1 −f 0]×h
l=20,f 1 =25,f
2
=13,f 0
=12,h=10
=20+[ 50−12−1325−12]×10
=20+5.2=25.2
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