For a certain drug, based on standards set by the United States Pharmacopeia $($USP$)-$ an official public standards$-$setting authority for all prescription and over$-$the$-$counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than $1\mathrm{.}1$ mg is acceptable. A sample of $50$ capsules was taken and the weights are provided below: