Answer :
Hi ,
We know that,
_____________________________
Mean
=( sum of the observations )/( number
of observations )
____________________________
According to the given problem ,
i )Sum of the 100 observations/ 100
= mean
Sum of the 100 observations
= 50× 100
= 5000 ------( 1 )
ii ) if one of the observation 50
replaced by 150
New Sum of the 100 observations
= 5000 - 50 + 150 [ from ( 1 ) ]
= 5100 ---( 2 )
New mean = ( 2 )/ 100
= 5100/ 100
= 51
I hope this helps you.
***
We know that,
_____________________________
Mean
=( sum of the observations )/( number
of observations )
____________________________
According to the given problem ,
i )Sum of the 100 observations/ 100
= mean
Sum of the 100 observations
= 50× 100
= 5000 ------( 1 )
ii ) if one of the observation 50
replaced by 150
New Sum of the 100 observations
= 5000 - 50 + 150 [ from ( 1 ) ]
= 5100 ---( 2 )
New mean = ( 2 )/ 100
= 5100/ 100
= 51
I hope this helps you.
***
As we know formula for mean is →
Sum of observations/ Number of observations
So, if mean of 100 observations is 50 , then sum of hundred observations = No of observations× Mean
= 100×50
=5000
Now as we have told , An observation 50 was replaced by 150 . So new sum of observations→
5000-50+150
= 5000+100
= 5100
New mean → 5100/100
= 51.
Answer → New mean is 51.
______________________________
Sum of observations/ Number of observations
So, if mean of 100 observations is 50 , then sum of hundred observations = No of observations× Mean
= 100×50
=5000
Now as we have told , An observation 50 was replaced by 150 . So new sum of observations→
5000-50+150
= 5000+100
= 5100
New mean → 5100/100
= 51.
Answer → New mean is 51.
______________________________