SOLUTION: Write and solve an equation to find the value of x. 4.8 , 1.6 , 5.2, x ; mean 3.7

Algebra ->  Systems-of-equations -> SOLUTION: Write and solve an equation to find the value of x. 4.8 , 1.6 , 5.2, x ; mean 3.7      Log On


   

Question 100660: Write and solve an equation to find the value of x.
4.8 , 1.6 , 5.2, x ; mean 3.7
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The mean is the sum of the values divided by the count of the number of values. The sum of the values is 4.8 + 1.6 + 5.2 + x. The number of values equals 4. Thus we know that
%28x+%2B+11.6%29%2F4+=+3.7
Multiplying by 4, we have
x+%2B+13.6+=+14.8
Subtracting 13.6 from both sides, we have the answer
x+=+1.2
We now check our answer by substituting the value of x into the original equation and solve it, to make sure the mean is 3.7.
4.8+%2B+3.6+%2B+5.2+%2B+1.2+=+14.8
14.8%2F4+=+3.7. Check.