How is it possible to get a mean bigger than your data? My data was 2.59, 2.5, and 2.6.
It is not possible to get a mean begger than your data!
Mean is a measure of central tendancy! It is the same as average.
Thankyou. I mixed up mixed up mutiplication with addition. It has been a while scince i needed to do this.
Here's a mathematical proof that demonstrates why this can't happen:
Suppose that we have the data set :
A1, A2,.....An where An is the largest value
And suppose that B is a mean that is greater than An......and suppose that we assume that
[ A1 + A2 +.....+An] / n = B is true ........ multiply both sides by n
A1 + A2 +.....+ An = Bn .... implies that
A1 + A2 +.......+ An = B + B + B........ summmed "n" times
But B > than any term on the left.....and since we have the same number of terms on each side, the right side must be larger than the left side.....thus, they cannot be equal....and our assumption is false......so, the mean cannot be greater than any individual value in a set of data