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Question

The fruit vendor has apples packed in boxes. Each box contains different numbers of apples. The following was the distribution of apples according to the number of boxes. Find the mean number of Apples kept in a packing box using the direct method.
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A
39.5
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B
41.5
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C
38.5
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D
35.5
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Solution

The correct option is C 38.5
No. of apples No. of boxes
fi
xi=Upper limit+Lower limit2 fixi
30-33 60 31.5 1890
33-36 120 34.54140
36-39 150 37.5 5625
39-42 80 40.5 3160
42-45 50 43.5 2175
45-48 90 46.5 4185
Σfi=550 Σfixi=21175
By direct method
Mean=ΣfixiΣfi=21175550=38.5
Mean = 38.5

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