4+3x=25
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A sample of n=8 scores has a mean of m=12. What is the value of ∑x for this sample
Answer: We are given the mean of 8 scores is 12.
We are required to find the sum of these 8 observation's,
We know that:
We are given:
Hence, sum of 8 observation's,
First notice that the triangle with sides 
and the triangle with sides 
are similar. This is true because the angle between sides 
in the smaller triangle is clearly 
, while the angle between sides 
in the larger triangle is clearly 
. So the triangles are similar with sides corresponding to 
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is 
, then the length of the longer leg is 
and the hypotenuse has length 
.
Since
is the shortest leg in the larger triangle, it follows that 
, so 
Now both triangles are
Since