30. The following data gives the distribution of total monthly household expenditure (in rupees)
of manual workers in a city:
Expenditure 1000-
1500-
2000-1 2500-
3000-
3500-
4000-4500-
(in Rs.)
1500
2000
2500
3000
3500
4000
4500
5000
Frequency
24
40
33
28
30
22
16
7.
Find the average expenditure which is being done by the maximum number of manual
workers.
Answers
Answered by
8
Answer:
We observe that the class 1500−2000 has the maximum frequency 40. So, it is the modal class such that
l=1500,h=500,f=40,f
1
=24, and f
2
=33
∴Mode=l+
2f−f
1
−f
2
f−f
1
×h
⇒Mode=1500+
80−24−33
40−24
×500
⇒Mode=1500+
23
16
×500=1847.826
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