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Mathematics

The water bills (in rupees) of 32 houses in a locality are given below. Construct a frequency distribution table with a class size of 10.

80, 48, 52, 78, 103, 85, 37, 94, 72, 73, 66, 52, 92, 85, 78, 81, 64, 60, 75, 78, 108, 63, 71, 54, 59, 75, 100, 103, 35, 89, 95, 73.

Statistics

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Answer

Here, maximum = 108 and minimum = 35.

Range = 108 - 35 = 73.

Let us form 8 classes of each size 10.

Since, we want to score 108 in last class and 110 is the upper limit of the last class, so the lower limit of first class is 30.

A frequency distribution with a class size of 10 is follows:

ClassesTally marksFrequency
30 - 40II2
40 - 50I1
50 - 60IIII4
60 - 70IIII4
70 - 80IIII IIII9
80 - 90IIII5
90 - 100III3
100 - 110IIII4

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