The data in the table below are from observations taken on Roman coins dating from the first three centuries AD. Historians believe that different mints might reveal themselves in different trace element profiles in the coins; these coins are known to have been minted in Rome. The technique of Atomic Absorption Spectrometry was used to estimate the % by weight of various elements in these coins; the % by weight that is gold is presented here.
(a)Calculate these numerical summaries:
The mean _______________
The standard deviation _______________
The median _______________
The interquartile range _______________
(b)Construct a skeletal box plot for these data.
(c)Judging from the data and your responses in parts (a) and (b), would you say this distribution is skewed or approximately symmetric? Justify your response using appropriate statistical terminology.

Question

The data in the table below are from observations taken on Roman coins dating from the first three centuries AD. Historians believe that different mints might reveal themselves in different trace element profiles in the coins; these coins are known to have been minted in Rome. The technique of Atomic Absorption Spectrometry was used to estimate the % by weight of various elements in these coins; the % by weight that is gold is presented here.  ​
(a)Calculate these numerical summaries:
The mean _______________
The standard deviation _______________
The median _______________
The interquartile range _______________
(b)Construct a skeletal box plot for these data.
(c)Judging from the data and your responses in parts (a) and (b), would you say this distribution is skewed or approximately symmetric? Justify your response using appropriate statistical terminology.

Quizplus · Accepted Answer

The Answer of The data in the table below are from observations taken on Roman coins dating from the first three centuries AD. Historians believe that different mints might reveal themselves in different trace element profiles in the coins; these coins are known to have been minted in Rome. The technique of Atomic Absorption Spectrometry was used to estimate the % by weight of various elements in these coins; the % by weight that is gold is presented here.  ​
(a)Calculate these numerical summaries:
The mean _______________
The standard deviation _______________
The median _______________
The interquartile range _______________
(b)Construct a skeletal box plot for these data.
(c)Judging from the data and your responses in parts (a) and (b), would you say this distribution is skewed or approximately symmetric? Justify your response using appropriate statistical terminology.

The Data in the Table Below Are from Observations Taken