the following data gives the distribution of total monthly household expenditure of 200 families of village find the model monthly expenditure of the families .
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Expenditure(in Rs)Number of families1000-1500241500-2000402000-2500332500-3000283000-3500303500-4000224000-4500164500-50007
Answer
⇒ Here, in given table we can see 1500−2000 has highest frequency 40.
∴ Modal class =1500−2000
⇒ So, l=1500,f1=40,f0=24,f2=33 and h=2000−1500=500
Mode=l+2f1−f0−f2f1−f0×h
=1500+2(40)−24−3340−24×500
=1500+80−5716×500
=1500+2316×500
=1500+347.826
=1847.83
∴ Modal monthly expenditure of families is Rs.1847.83
Class−Interval
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