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Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterflies are shown below.

What is the average number of Variegated Fritillaries for all three samples?

\begin{tabular}{|c|c|c|c|c|c|}
\hline \multicolumn{6}{|c|}{ Louden County Butterfly Count } \\
\hline \multicolumn{2}{|c|}{2009} & \multicolumn{2}{|c|}{2010} & \multicolumn{2}{|c|}{2011} \\
\hline Meadow Fritillary & 5 & Meadow Fritillary & 34 & Meadow Fritillary & 14 \\
\hline Variegated Fritillary & 7 & Variegated Fritillary & 95 & Variegated Fritillary & 63 \\
\hline Zebra Swallowtail & 33 & Zebra Swallowtail & 21 & Zebra Swallowtail & 10 \\
\hline Eastern-Tailed Blue & 242 & Eastern-Tailed Blue & 168 & Eastern-Tailed Blue & 170 \\
\hline
\end{tabular}

A. 55
B. 83
C. 106
D. 165



Answer :

GinnyAnswer
To find the average number of Variegated Fritillaries (VFs) for the three samples, follow these steps:

1. Identify and List the Counts:
- For 2009: 7 Variegated Fritillaries
- For 2010: 95 Variegated Fritillaries
- For 2011: 63 Variegated Fritillaries

2. Calculate the Total Count:
- Sum the counts from each of the years:
[tex]\[ 7 \, (\text{from 2009}) + 95 \, (\text{from 2010}) + 63 \, (\text{from 2011}) \][/tex]
- Add them together:
[tex]\[ 7 + 95 + 63 = 165 \][/tex]
So, the total number of Variegated Fritillaries over the three years is [tex]\(165\)[/tex].

3. Calculate the Average Count:
- Divide the total count by the number of years (which is 3):
[tex]\[ \frac{165}{3} = 55.0 \][/tex]
Thus, the average number of Variegated Fritillaries over the three years is [tex]\(55.0\)[/tex].

So, the average number of Variegated Fritillaries for all three samples is [tex]\(55.0\)[/tex].

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