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The average of six numbers is -3.65.If five numbers are each -3.20,what is the sixth number.

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we know that the average for six numbers can be writen like:


A=(x_1+x_2+x_3+x_4+x_5+x_6)/(6)

So if 5 of them are -3.20 and the average is -3.65 we can replace that values and find the missing one:


-3.65=(5(-3.20)+x)/(6)

and we solve for x so:


\begin{gathered} -3.65\cdot6=-16+x \\ -22+16=x \\ -6=x \end{gathered}

So the missing value is -6

User Christopher Masser
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