Find the mean of the numbers
\[
5^2,\;6^2,\;7^2,\;8^2,\;9^2,\;10^2.
\]
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Arithmetic mean is given by
\[
\boxed{
\text{Mean}
=
\frac{\text{Sum of observations}}{\text{Number of observations}}
}
\]
Always evaluate the terms first before calculating the average.