Find the mode of the following frequency distribution: Size ( oX) : 1,2,3,4,5,6,7,8,9,10,11,12 Frequency (f-): 3,8,15,23,34,40, 32,28,20,46,14,6
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Answer:
Here, the maximum frequency is 17 and the corresponding class is 12−16. So, 12−16 is the modal class.
We have,
l=12,h=4,f=17,f
1
=9 and f
2
=12
∴Mode=l+
2f−f
1
−f
2
f−f
1
×h
⇒Mode=12+
34−9−12
17−9
×4
⇒Mode=12+
13
8
×4=12+
13
32
=12+2.4=14.4
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