Question

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?

Answer 1

Answer:

Step-by-step explanation:

The mean of 100 observations is 50 .if one of the observation which was 50 is replaced by 150 the resulting mean will be -

Answers

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

Answer 2

Given, mean of 100 observations = 50
Sum of 100 observations = (50 x 100) = 5000
Total sum after replacement = 5000 - 50 + 150
= 5100
Resulting mean = 5100/100 = 51 .