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Administrators surveyed students enrolled in a new school to choose the school mascot. The results are shown in the table below. What is the average number of students that chose grizzlies for both samples?

\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{Mascot Survey} \\
\hline
& Sample 1 & Sample 2 \\
\hline
Ducks & 12 & 8 \\
\hline
Grizzlies & 24 & 30 \\
\hline
Lions & 20 & 22 \\
\hline
Silverbacks & 16 & 12 \\
\hline
\end{tabular}

A. 18

B. 27

C. 54

D. 72


Sagot :

To find the average number of students that chose Grizzlies for both samples, we will follow a systematic approach, examining the data provided in the Mascot Survey table.

We know the number of students who chose Grizzlies from each sample:

1. From Sample 1, the number of students who chose Grizzlies is 24.
2. From Sample 2, the number of students who chose Grizzlies is 30.

To find the average number of students that chose Grizzlies, we need to combine the numbers from both samples and then calculate the arithmetic mean (average). This involves the following steps:

1. Add the number of students who chose Grizzlies from both samples:
[tex]\[ 24 + 30 = 54 \][/tex]

2. Since there are two samples, we divide the total number by 2 to find the average:
[tex]\[ \frac{54}{2} = 27 \][/tex]

Thus, the average number of students that chose Grizzlies across both samples is [tex]\( 27 \)[/tex].
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