Mean of 100 numbers was found to be 50. But later on, it was observed that one of the number 150 was wrongly taken as 50. The correct mean is
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Given:
The Mean of 100 numbers was found to be 50
To find:
The correct mean
Solution:
As it is given in the question that one of the number 150 was wrongly taken as 50,
It is given in the question that the mean of the 100 numbers is 50
so the sum of the observation will be
- 100×50
- 5000
As per the condition the new sum of the observation will be;
- 5000-50+150
- 5000+100
- 5100
We have given the 100 numbers
So the mean is given by:
Mean = Sum of observation/Total number of observation
- Mean = 5100/100
- Mean = 51
So the new mean will be 51
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