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The mean of 100 observations is 50. If one of the observation which was 50 is replaced by 150 then what will be the resulting mean?

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Observed value diff =100 Mean of observed diff=100/100(no of observation)=1 So new mean =51
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The total mean of 100 observations = 100X50 = 5000 Add correct obs and minus wrong obs from total i.e. 5000-50+150= 5100 new mean= 5100/50= 102
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Mean of 100 observation=50 So total sum =50 100=5000 Now one observation is replaced having value 50 by 150 So change in sum=150-50=100 Therefore change in sum=100 So new sum is 5100 Therefore new mean is 5100/100=51
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