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Question
The weights of 50 apples were recorded as given below. Calculate the mean weight, to the nearest gram, by the Step deviation Method.
Weight (in g)No. of apples80−85585−90890−951095−10012100−1058105−1104110−1153 [4 MARKS]
Weight (in g)No. of apples80−85585−90890−951095−10012100−1058105−1104110−1153 [4 MARKS]
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Solution
Formula: 2 Marks
Solution: 2 Marks
Here, class size, h = 5
WeightNo. ofxu=x−Ahfu(in g)apples(f)80−85582.5−3−1585−908875−2−1690−951092.5−1−1095−1001297.5(A)00100−1058102.518105−1104107.528110−1153112.539∑f=50∑fu=−16
∴ Mean =A+∑fu∑f×h
=97.5+−1650×5
=97.5−1.6=95.9=96 g
Solution: 2 Marks
Here, class size, h = 5
WeightNo. ofxu=x−Ahfu(in g)apples(f)80−85582.5−3−1585−908875−2−1690−951092.5−1−1095−1001297.5(A)00100−1058102.518105−1104107.528110−1153112.539∑f=50∑fu=−16
∴ Mean =A+∑fu∑f×h
=97.5+−1650×5
=97.5−1.6=95.9=96 g
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