30. Consider the following frequency distribution of manual workers
Frequency
10
Expenditure (in Rs.)
0-500
500-1000
1000-1500
1500-2000
2000-2500
13
10
15
8
11
Then, find the average expenditure which is done by the maximum number of manuaal workers
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ANSWER
We observe that the class 1500−2000 has the maximum frequency 40.
So, 1500−2000 is a modal class.
l=1500,h=2000−1500=500,f=40,f
1
=24 and f
2
=33
⇒ Mode=l+
2f−f
1
−f
2
f−f
1
×h
=1500+
2×40−24−33
40−24
×500
=1500+
80−57
16
×500
=1500+
23
16
×500
=1500+347.826
=1847.826
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