The Measurements in the Table at Right Are from Coins

question 28

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

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Definitions:

Lateral Hamstring

Refers to the biceps femoris, one of the three muscles at the back of the thigh involved in knee flexion and thigh extension.

Biceps Femoris

A muscle of the posterior thigh that is part of the hamstrings group, involved in knee flexion and thigh extension.

Semitendinosus

A muscle located in the back of the thigh, part of the hamstrings group, involved in flexing the knee and extending the hip.