Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Select the correct answer from each drop-down menu.

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] \\
SD [tex]$=4.9$[/tex] & SD [tex]$=3.7$[/tex] & SD [tex]$=6.1$[/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
Let's analyze the given data for each exhibit in terms of the mean age of the artifacts and the standard deviation (SD):

- Exhibit A: Mean = 42, SD = 4.9
- Exhibit B: Mean = 96, SD = 3.7
- Exhibit C: Mean = 234, SD = 6.1

The consistency in the age of artifacts within an exhibit can be evaluated by looking at the standard deviation. A higher standard deviation indicates less consistency (more variability) in ages. To find the exhibit with the least consistency in the age of the artifacts, we compare the standard deviations:

- SD for Exhibit A: 4.9
- SD for Exhibit B: 3.7
- SD for Exhibit C: 6.1

The exhibit with the greatest standard deviation has the least consistency. Among the exhibits, the highest standard deviation is 6.1, which belongs to Exhibit C. Thus, Exhibit C has the least consistency in the age of the artifacts.

Here is the completed statement:
Exhibit [tex]$\text{C}$[/tex] shows the least consistency in the age of the artifacts in the exhibit, because its [tex]$\text{standard deviation}$[/tex] is the [tex]$\text{greatest}$[/tex].
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.