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The wildflower commonly known as Ute Ladies' Tresses is threatened. Some sample counts were taken of the flower as part of monitoring and protecting its population. These counts are displayed in the table below.

What is the average number of plants at Site 2 for both samples?

\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{Ute Ladies' Tresses Mature Plant Count} \\
\hline
& 2010 & 2012 \\
\hline
Site 1 & 84 & 64 \\
\hline
Site 2 & 112 & 120 \\
\hline
\end{tabular}

A. 74

B. 116

C. 148

D. 232



Answer :

GinnyAnswer
Let's break down the process of finding the average number of plants at Site 2 for both samples (2010 and 2012) step-by-step.

1. Identify the number of plants at Site 2 in the years specified:
- In 2010, there were 112 plants.
- In 2012, there were 120 plants.

2. Calculate the total number of plants from both years:
- Add the number of plants from 2010 and 2012.
[tex]\[ 112 \text{ (plants in 2010)} + 120 \text{ (plants in 2012)} = 232 \text{ plants}. \][/tex]

3. Find the number of years over which the average is to be calculated:
- In this case, there are 2 years (2010 and 2012).

4. Calculate the average number of plants:
- Divide the total number of plants by the number of years.
[tex]\[ \frac{232 \text{ plants}}{2 \text{ years}} = 116 \text{ plants/year}. \][/tex]

Therefore, the average number of plants at Site 2 for both samples is:
[tex]\[ \boxed{116} \][/tex]

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