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Mathematics

The weights in grams of 50 apples picked at random from a consignment are as follows :

131, 113, 82, 75, 204, 81, 84, 118, 104, 110, 80, 107, 111, 141, 136, 123, 90, 78, 90, 115, 110, 98, 106, 99, 107, 84, 76, 186, 82, 100, 109, 128, 115, 107, 115, 119, 93, 187, 139, 129, 130, 68, 195, 123, 125, 111, 92, 86, 70, 126

Form the grouped frequency table by dividing the variable range into intervals of equal width of 20 g.

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Answer

Minimum weight = 68 g

Maximum weight = 204 g

Given class width = 20 g

So we can take the class intervals as

60 - 80, 80 - 100, 100 - 120, 120 - 140, 140 - 160, 160 - 180, 180 - 200, 200 - 220

Frequency distribution table :

Weights (in g)Tally-MarksFrequency
60 – 80IIII5
80 – 100IIII IIII III13
100 – 120IIII IIII IIII II17
120 – 140IIII IIII10
140 – 160I1
160 – 1800
180 – 200III3
200 – 220I1
Total50

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