Question
The mean of 10 observations is 21. If each score is divided by 3, find the new mean.
Answers
Damon
(1/10)( X1/3 + X2/3 + ...(X10/3) =
(1/30) (X1 + X2 + ....(X10)
so
new mean = (1/3) times old mean
(1/30) (X1 + X2 + ....(X10)
so
new mean = (1/3) times old mean
Anupam Sharma
lets take an example,
observations are 1,2and3
hence mean is= 1+2+3/3=6
when each observation is divided by 3 then
1/3+2/3+3/3/33=4/3
1/3+2/3+3/3/3=4*1/3
Hence mean become 1/3 times then old mean.
Hence in question the new mean is 21*1/3=21/3=7.
observations are 1,2and3
hence mean is= 1+2+3/3=6
when each observation is divided by 3 then
1/3+2/3+3/3/33=4/3
1/3+2/3+3/3/3=4*1/3
Hence mean become 1/3 times then old mean.
Hence in question the new mean is 21*1/3=21/3=7.