Question

find the mode of given data expenditure- 1000-1500 1500-2000 2000-2500 2500-3000 3000-3500 3500-4000 4000-4500 4500-5000 no .of families = 24,40,33,28,30,22,16,7​

Answer 1

Step-by-step explanation:

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Expenditure

(in rupees)xiFrequency

(fi) fixi 1000-1500 1250 2430000 1500-2000 1750 40 70000 2000-2500 2250 33 74250 2500-3000 2750 28 77000 3000-3500 3250 30 97500 3500-4000 3750 22 82500 4000-4500 4250 16 68000 4500-5000 4750 7 33250   Σfi=200 Σfixi=532500 Mean=ΣfiΣfixi=200532500=2662.5

As frequency is maximum for the class 1500-2000, modal class is 1500−2000.

Mode=l+2f1−(f0+f2)f1−f0×h

where,

l = lower limit of modal class =1500

f1 = frequency of modal class = 40

f0 = frequency of class preceding the modal class = 24

f2 = frequency of class succeding the modal class = 33

h = higher limit - lower limit =2000−