The mean of 30 observations was calculated to be 51. Later on, it was detected that by mistake one observation was taken to be 15 instead of 75. Find the correct mean.
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Step-by-step explanation:
Mean of 30 observations = 51
Total Value of 30 observations = 51×30 = 1530
What was the mistake done while doing the mean?
Later on, it was detected that by mistake one observation was taken to be 15 instead of 75.
So, Take 15 out from total value of 30 observations
Then, you will get 1530-15 = 1515.
75 has to be added to the mean so that you can get an actual mean
Then, you get 1515+75 = 1590
Now, the actual and correct mean = Sum of the observations / Total no.of observations
=> 1590/30 = 53
Therefore, the correct mean is 53.
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