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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Average gets increased by 1.
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51
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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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T. value=100*50=5000 Observation increased =150-50=100 New value= 5000+100=5100 New mean=5100/100=51 Alternate method Increase in observed value =150-50=100 Mean of new observed= 100/100=1 So new mean = 50+1=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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