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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}{|l|}{2009} & \multicolumn{2}{|l|}{2010} & \multicolumn{2}{|l|}{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 for the three years, we can follow a step-by-step approach:

1. Extract the Variegated Fritillary Counts:
- For 2009: 7
- For 2010: 95
- For 2011: 63

2. Calculate the Total Sum of Variegated Fritillaries:
[tex]\[ 7 + 95 + 63 = 165 \][/tex]

3. Determine the Number of Years:
- The data covers 3 years (2009, 2010, and 2011).

4. Calculate the Average:
[tex]\[ \text{Average} = \frac{\text{Total Sum of Variegated Fritillary Counts}}{\text{Number of Years}} = \frac{165}{3} = 55 \][/tex]

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

As a result:
- The total number of Variegated Fritillaries counted over the three years is [tex]\( 165 \)[/tex].
- The average number of Variegated Fritillaries per year is [tex]\( 55.0 \)[/tex].

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