The Measurements in the Table at Right Are from Coins

Essay

The measurements in the table at right are from coins minted in Rome during first three centuries AD. Historians believe that different mints reveal themselves in different trace element profiles in the coins. Atomic Absorption
Spectrometry was used to estimate the \% by weight of gold; these data are presented here.
$\begin{array} { | c | c | } \hline { \begin{array} { c } \text { Roman Mint: } \\\text { Gold Content } \\\text { (\% by weight) }\end{array} } \\\hline 0.22 & 0.38 \\0.24 & 0.38 \\0.20 & 0.43 \\0.24 & 0.36 \\0.21 & 0.32 \\0.23 & 0.42 \\0.18 & 0.47 \\0.15 & 0.50 \\0.17 & 0.28 \\0.17 & \\\hline\end{array}$
(a) Construct a box plot for these data.
(b) Would you say this distribution is skewed or approximately symmetric? Justify your response using appropriate statistical terminology. the coins minted in Rome. Some of the summary statistics
are given in the table on the right.
(a) Describe a procedure that uses some or all o f these
summary statistics to determine whether outliers are