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Question

Weight of 60 eggs were recorded as given below:
Weight (in grams)75798084858990949599100104105109Number of eggs4913171232
Calculate their mean weight to the nearest gram.

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Solution

Weight (in grams) Number of eggs (fi) Class mark (xi) di= xi-92 ui = (xi−92)/5 fiui
74.5 - 79.5 4 77 -15 -3 -12
79.5 - 84.5 9 82 -10 -2 -18
84.5 - 89.5 13 87 -5 -1 -13
89.5 - 94.5 17 92 0 0 0
94.5 - 99.5 12 97 5 1 12
99.5 - 104.5 3 102 10 2 6
104.5 - 109.5 2 107 15 3 6
Total ∑fi=60 ∑(fi×ui)=−19

The mean of given data is given by

¯x=a+(∑fiui/∑fi)×h

= 92 + (−19/60) x 5

= 92 - 1.58

= 90.42

≈≈ 90

Thus, the mean weight to the nearest gram is 90g


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