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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 [tex]$\square$[/tex] is the [tex]$\square$[/tex].

Sagot :

GinnyAnswer
To determine which exhibit shows the least consistency in the age of the artifacts, we need to look at the standard deviation (SD) for each exhibit. The exhibit with the highest standard deviation indicates the least consistency, as higher standard deviation values reflect greater variation in the data.

Here are the standard deviations for each exhibit:
- Exhibit A: SD = 4.9
- Exhibit B: SD = 3.7
- Exhibit C: SD = 6.1

Among these values, the highest standard deviation is 6.1, which corresponds to Exhibit C. Therefore, Exhibit C shows the least consistency in the age of the artifacts.

So, the correctly completed statement is:

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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