Question

If the modal class of the data given below is 10-15 then what is value of f?

Class Frequency
0-5 8
5-10 6
10-15 f
15-20 4
20-25 3

Answer 1

Given : The modal class is 10 - 15

Classes       0-5    5 - 10  10 - 15    15 - 20   20 - 25

Frequency     8        6             f            4          3  

To Find : Value of  f  

a) f < 8

b) f ≥ 8

c) f > 8 only

d) f < 7

Solution:

Classes       0-5    5 - 10  10 - 15    15 - 20   20 - 25

 Frequency     7        6             f            4          3  

10 - 15 is modal class Hence    

f must be greater than 8

Hence  f  >  8     f can not be 8 s

Correct option is  c)  f > 8 only

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Answer 2

Answer:

$ere, we can see class 10−15 has maximum number of frequency.</p><p></p><p>∴  Modal class =10−15</p><p></p><p></p><p>Then we have, </p><p></p><p>l=10,f0=3,f1=10,f2=1 and h=5</p><p></p><p></p><p>Since,</p><p></p><p>Mode=l+2f1−f0−f2f1−f0×h</p><p></p><p>=10+2×10−3−110−3×5</p><p></p><p>=10+2.18</p><p></p><p>=12.18</p><p></p><p></p><p>∴  Mode=12.18</p><p></p><p></p><p>Hence, this is the answer.</p><p></p><p></p><p>$