A sample has n 7 scores with a mean of M 7 if one individual
A sample has n= 7 scores with a mean of M= 7. if one individual with a score of X= 1 is removed from the sample, the new mean will be M= 8.
is this false?
Solution
As
Sum = M * n
Then
Sum = 7*7 = 49
Now, a score of x = 1 is removed.
hence,
New Sum = 49 -1 =48 [FIRST STATEMENT]
Now, it says that
New sum = New M * New n
As New M = 8, New n = 6,
New Sum = 8*6 = 48 [SECOND STATEMENT]
THUS, IT IS TRUE, as the two statements matched. [TRUE]
