Answer
257.33
Work Step by Step
$mean=\frac{243\times1+247\times3+251\times5+255\times7+263\times4+271\times2+279\times2}{1+3+5+7+4+2+2}$
$mean=\frac{243+741+1255+1785+1052+542+558}{24}$
$mean=\frac{6176}{24} =257.333333333333333$
We can round this result to the nearest hundredth, which is 257.33