The Data in the Table Below Are from Observations Taken

question 18

Essay

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.

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Definitions:

Indifference Curve

A graph showing combinations of goods between which a consumer is indifferent, reflecting their preferences and trade-offs.

Total Utility

The overall satisfaction or benefit that a consumer derives from consuming a certain quantity of goods or services.

Preferences

The subjective tastes and desires of consumers that influence their choices among various goods and services.

Apples

In economic and financial contexts, this term is often used metaphorically to represent the comparison of similar items or investments, as in "comparing apples to apples."