The modal class data given below, 10 - 15, then Classes 0-5 5 - 10 10 - 15 15 - 20 | 20 - 25 7 6 f 4 3 Frequency a) f 8 only
Answers
Given : The modal class is 10 - 15
Classes 0-5 5 - 10 10 - 15 15 - 20 20 - 25
Frequency 7 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 7
Hence f ≥ 8
Correct option is b) f ≥ 8
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Answer:
Here, we can see class 10−15 has maximum number of frequency.
∴ Modal class =10−15
Then we have,
l=10,f0=3,f1=10,f2=1 and h=5
Since,
Mode=l+2f1−f0−f2f1−f0×h
=10+2×10−3−110−3×5
=10+2.18
=12.18
∴ Mode=12.18
Hence, this is the answer.