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How is it possible to get a mean bigger than your data? My data was 2.59, 2.5, and 2.6.

 Oct 5, 2015
edited by Guest  Oct 5, 2015
edited by Guest  Oct 5, 2015

Best Answer 

 #2
avatar+118723 
+15

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.

 Oct 5, 2015
 #1
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+10

The sum of your set is=7.69

The mean then is        =7.69/3=2.563..........etc.

 Oct 5, 2015
 #2
avatar+118723 
+15
Best Answer

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.

Melody Oct 5, 2015
 #3
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0

Thankyou. I mixed up mixed up mutiplication with addition. It has been a while scince i needed to do this.

 Oct 5, 2015
 #4
avatar+130511 
+5

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

 

 

cool cool cool

 Oct 5, 2015

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