The data set below represents the weights ($\text{kg}$) of high school seniors before graduation. Begin with a lower-class limit of $45$ $\text{kg}$ and use a class width of $10$ $\text{kg}$ to construct a frequency distribution. Can we conclude that the distribution appears to be normal?
Weights ($\text{kg}$):
$48$, $55$, $72$, $68$, $90$, $85$, $60$, $77$, $52$, $95$, $58$, $49$, $63$, $80$, $88$, $74$, $69$, $50$, $92$, $66$, $76$, $59$, $54$, $79$, $82$, $70$, $56$, $84$, $64$