The maen and midean of 100 observation are 50 and 52 respectively. The value of largest obsrevation is100. It was later found that it is 110 not 100. Find true mean and midean

2 answers

if the mean was 50, then the total was 100*50
Now, the mean is (100*50 + 10)/50 = 50.2

The median is the same, since the place of the middle value has not changed. This must be so, since it is less than 100, and only the greatest value has changed.
Mean=Sum of observations/total no: of observations
here 50 is the mean
therefore sum of the observation=50*100
so the sum will be 5000

when the value is changed from 100 to 110....only 10 is increased...

therefore sum of observations will be increased by ten....

5000+10(note:100-110)=5010

Mean=Number of Observations/total number of observations

So the mean=5010/100=50.1

i have a small doubt in this problem.....anybody please say my answer is correct or not....if it is wrong please suggest the right way
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