Question

If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13

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The mean of a set of numbers is found by adding up all the numbers and dividing by the count of numbers present.
For the given set of numbers, which includes 5 values (12, 18, 21, c, 13), the mean is:
\[\text{Mean} = \frac{12 + 18 + 21 + c + 13}{5}\]
You mentioned that the mean is 17. So, we can set up an equation using this information:
\[\frac{12 + 18 + 21 + c + 13}{5} = 17\]
Now, let's solve this equation to find the value of \(c\):
\[12 + 18 + 21 + c + 13 = 5 \times 17\]
\[64 + c = 85\]
\[c = 85 - 64\]
\[c = 21\]
Therefore, the value of \(c\) that would make the mean of the set equal to 17 is \(c = 21\) .

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