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Question
Mean of all obeservtions is 35.If each observation is decreased by 30%. then the mean is 24.5
If true then enter 1 and if false then enter 0
Mean of all obeservtions is 35.If each observation is decreased by 30%. then the mean is 24.5
If true then enter 1 and if false then enter 0
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Solution
The correct option is B 1
LetthecountofobservationsisNMean=SumofobservationsN=35(given)Lettheobservationsbex1,x2,x3,......,xN.Sumofobservations=∑x1+x2+x3+......+xN=35NIfeachobservationisdecreasedby30percentthenNewSumofobservations=∑x1−x1×0.3+x2−x2×0.3+x3−x3×0.3+......+xN−xN×0.3=∑x1+x2+x3+......+xN−0.3∑x1+x2+x3+......+xN=(1−0.3)∑x1+x2+x3+......+xN=0.7×35N=24.5NNewMean=24.5NN=24.5
LetthecountofobservationsisNMean=SumofobservationsN=35(given)Lettheobservationsbex1,x2,x3,......,xN.Sumofobservations=∑x1+x2+x3+......+xN=35NIfeachobservationisdecreasedby30percentthenNewSumofobservations=∑x1−x1×0.3+x2−x2×0.3+x3−x3×0.3+......+xN−xN×0.3=∑x1+x2+x3+......+xN−0.3∑x1+x2+x3+......+xN=(1−0.3)∑x1+x2+x3+......+xN=0.7×35N=24.5NNewMean=24.5NN=24.5
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