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An art curator records statistics about three new exhibits at her art museum. The mean age of the artifacts and the standard deviation, SD, for each exhibit are recorded in the table below.

\begin{tabular}{|c|c|c|}
\hline Exhibit A & Exhibit B & Exhibit C \\
\hline Mean [tex]$=42$[/tex] & Mean [tex]$=96$[/tex] & Mean [tex]$=234$[/tex] \\
[tex]$SD =4.9$[/tex] & [tex]$SD =3.7$[/tex] & [tex]$SD =6.1$[/tex] \\
\hline
\end{tabular}

Use the information in the table to complete the following statement:

Exhibit [tex]$\square$[/tex] shows the least consistency in the age of the artifacts in the exhibit, because its standard deviation is the highest.

A. C
B. B
C. A

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Answer :

GinnyAnswer
To find which exhibit shows the least consistency in the age of the artifacts, we need to look at the standard deviations of the ages for each exhibit.

- Exhibit A has a standard deviation (SD) of 4.9.
- Exhibit B has a standard deviation (SD) of 3.7.
- Exhibit C has a standard deviation (SD) of 6.1.

The standard deviation is a measure of consistency: a higher standard deviation indicates less consistency (greater variability) in the age of the artifacts.

Comparing the standard deviations:
- Exhibit A: 4.9
- Exhibit B: 3.7
- Exhibit C: 6.1

The highest standard deviation is 6.1, which belongs to Exhibit C. Therefore, Exhibit C shows the least consistency in the age of the artifacts because it has the highest standard deviation.

So, the completed statement should be:
"Exhibit C shows the least consistency in the age of the artifacts in the exhibit, because its standard deviation is the highest."

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