Answer
The distribution is symmetric.
The mean better describes the weight of this sample.
$Mean=0.8746$
$Median=0.875$
Work Step by Step
$Mean=\frac{0.79+0.81+2\times0.82+2\times0.83+6\times0.84+2\times0.85+6\times0.86+5\times0.87+7\times0.88+3\times0.89+4\times0.90+5\times0.91+0.92+3\times0.93+0.94+0.95}{50}=0.8746$
$Median=\frac{0.87+0.88}{2}=0.875$
Since the distribution is symmetric, the mean better describes the weight of this sample.